Two-fingered stone placement feels distant and cold

[Gomoto]

I can press down a switch on my keyboard in such a way that it desintegrates.

[EdLee]

control is the key.

The two-finger mode is the result of natural evolution, with practice. Like many other skills, practice is a key. ( Ergonomic ways to hold a pen, a sword, a bat, a golf club, etc. -- no moral or legal requirements to hold a stone any particular way, but it's not unwise to study and research why the pros acquire this skill via natural evolution. )

Elegantly removing multiple stones is also quite difficult.

[sybob]

In addition, you can impress your non-go-playing friends when you take an M&M out of a bowl using your forefinger and third finger.

Once I was introducing some young children to the game. After the M&M and Mentos stage of getting acquainted, and having instructed them to not put them in their mouth, I took a 'stone' (I put a Mentos in the bowl on beforehand) and ate it.
Made a good laugh.

[Bonobo]

“Two-fingered stone placement feels distant and cold” … like eating with chopsticks looked to me when I first saw it as a child … but as soon as I learned how to use them, it felt elegant and practical. Similar for me with placing stones with two fingers … like with chopsticks. Elegant, easier to place the stone without nudging other stones away when the board is full.

[WinPooh]

AlphaGo has no fingers at all. Which doesn't prevent it from playing at a rather decent level.

[Vio]

Funny no one mention that by holding the stone like this you can hide as less as possible the view of the goban to your opponent which I find awesome. I thought it was the primary objective.