As already indicated, in pro play Black has made a few different responses. Black played this counter-pincer as

in GoGoD 1776-06-00a, Wakayama Ritcho (W) vs. Suzuki Gennojo, and 1782-03-11, Yasui Senchi Senkaku (W) vs. Kono Mototora. In both games White responded with the kick in the corner,

. And then

was the combination two space extension cum three space pincer, also in both games. But Elf prefers the stand at
a for

.
- Click Here To Show Diagram Code
[go]$$Bc Counter-pincer, a mistake
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . 2 . . . 7 . . 9 . . . 4 . . . . |
$$ | . . 8 , . . . . . , . . . . . , 1 . . |
$$ | . . 5 a . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 6 . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 3 , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
- Click Here To Show Diagram Code
[go]$$Bcm9 Mainline variation for 
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . 2 . X . . 9 . . . O . . . . |
$$ | . . O , . . 8 . . , . . . . . , X . . |
$$ | . . X 1 . . . . . . . . . . . 4 5 . . |
$$ | . . . . . . . . . . . . . . . 6 . . . |
$$ | . . . . . . . . . . . . . . . . 7 . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X , . . . . . , . . . . . 3 . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
This variation comes from the Elf commentary for the Wakayama-Suzuki game, which gave it more rollouts, 54.5k, than the Yasui-Kono game.
After

,

secured a 3d line base for White in the corner. Then

occupied the last open corner.

turned to the press in the top right corner, and then

broke the sector line in the top left. Then

made a base on the top side, countering the influence of the White wall in the top right.
- Click Here To Show Diagram Code
[go]$$Wcm18 Mainline variation for
, continued
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . O . X . . X . 4 . O . . . . |
$$ | . . O , . . O . . , . . . . . , X . . |
$$ | . . B B . . . . . . . . . . . O X . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . 3 . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 1 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X , . . . . . , . . . . . X . . . |
$$ | . . . . 2 . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

made a thin, three space extension towards the bottom left corner, which

enclosed with a keima.

played the 5th line keima, attacking the

stones on a large scale. Then

attacked the thin White wall in the top right, taking away its potential base on the 3d line.
Top choice, the press
- Click Here To Show Diagram Code
[go]$$Bcm7 Mainline for
, the press
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . 8 . . . . |
$$ | . . . O 2 . 4 . . . . . . . O 7 . . . |
$$ | . . . , 1 3 . . . , . . . . . , X . . |
$$ | . . X . . . . . . . . . . . . 6 . . . |
$$ | . . . . . . . . . . . . . . . . . 9 . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X , . . . . . , . . . . . 5 . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
This variation comes from the Yasui-Kono game, which gives it more rollouts, 25.9k, than any other game in the Elf GoGoD commentary that has the same position after

.

pressed against the top left corner and then

occupied the bottom right corner. Note that Black occupies the bottom right corner in both mainline variations.
Next,

played the press in the top right corner.

replied with the kick, and

played the slide on the right side without further strengthening White.
- Click Here To Show Diagram Code
[go]$$Wcm16 Mainline for
, continued
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . O . . . . |
$$ | . . . O O . O . . . . . . . O X . . . |
$$ | . . . , X X . . . , . . . . . , X . . |
$$ | . . X . . . . . . . . . . . . O . . . |
$$ | . . . . . . . . . . . . . . . . . X . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X , . . . . . , . . . 8 6 X 2 . . |
$$ | . . . . . . . . . . . 0 4 7 5 3 1 . . |
$$ | . . . . . . . . . . . a 9 . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

invades the bottom right corner, with the following joseki.

does not show up because it got fewer than 1500 rollouts, if any, but the crawl to
a is the expected play. As always, long variations should be taken with a grain of salt.
The main difference between the press and the counter-pincer appears to be the strength of Black in the top left corner with the press, while with the counter-pincer Black's two stones in the top left are more vulnerable As indicated, the occupation of the bottom right corner does not appear to be much of a factor.