While AI bots teach us many new insights, they can also reinforce conventional wisdom. Although it may be coincidental, I found such an example in another game of Otake Hideo, my lighthouse in Go, with the help of KataGo.
Conventional wisdom says: "capture the cutting stone". Its corollary says: "cut the side you don't want" (since the opponent better captures the cutting stone). In this game we can see how Otake's opponent cuts the side he doesn't want and Otake resists by connecting the other side, rather than capturing the cutting stone. According to KataGo, this reduced Otake's comfortable lead of about 13 points to a mere 3 point lead. In the variations, I'm trying to justify KataGo's evaluation.
Go to move 75.
(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2]
RU[Japanese]SZ[19]KM[5.00]
PW[Shimamura Toshihiro]PB[Otake Hideo]WR[9p]BR[9p]DT[1971-02-24]EV[Meijin (Yomuri), 10th]RO[League]SO[http://gobase.org/games/badukmovies.com/1971/2/OtakeHideo-ShimamuraToshihiro7813.sgf]
;B[qd]
;W[dd]
;B[pq]
;W[oc]
;B[cp]
;W[ep]
;B[eo]
;W[fo]
;B[do]
;W[gp]
;B[md]
;W[ne]
;B[pg]
;W[me]
;B[fn]
;W[gn]
;B[fm]
;W[gm]
;B[fl]
;W[qi]
;B[pc]
;W[qo]
;B[pl]
;W[no]
;B[mq]
;W[qq]
;B[qr]
;W[pp]
;B[oq]
;W[rq]
;B[jq]
;W[oi]
;B[ob]
;W[hk]
;B[ml]
;W[fj]
;B[dj]
;W[ch]
;B[od]
;W[ld]
;B[fc]
;W[dc]
;B[id]
;W[kp]
;B[lq]
;W[mj]
;B[pn]
;W[op]
;B[mn]
;W[mo]
;B[ln]
;W[cq]
;B[ho]
;W[dp]
;B[co]
;W[go]
;B[bq]
;W[br]
;B[cr]
;W[dq]
;B[ar]
;W[hq]
;B[qn]
;W[rr]
;B[pr]
;W[ro]
;B[iq]
;W[jo]
;B[jm]
;W[hr]
;B[lo]
;W[lp]
;B[mp]
;W[kq]
;B[kr]
(;W[lr]C[White "cuts the side he doesn't want"]
(;B[jp]C[Black resists, but according to KataGo he should have "captured the cutting stone"
See variation]
;W[ko]
;B[jr]
;W[nq]
;B[mr]
;W[nr]
;B[io]C[Black secures life for all his stones in this area, but loses the corner (and sente)
KataGo thinks Black loses about 10 points in this line of play and had better captured the cutting stone. See both variations at 76 and 77.]
;W[if]
;B[mc]
;W[ke]
;B[ge]
;W[hb]
;B[dh]
;W[dg]
;B[cg]
;W[di]
;B[eh]
;W[bg]
;B[cf]
;W[df]
;B[ci]
;W[bh]
;B[bi]
;W[bf]
;B[fi]
;W[jc]
;B[ef]
;W[rg]
;B[qf]
;W[gi]
;B[ng]
;W[mg]
;B[nh]
;W[qk]
;B[ql]
;W[pk]
;B[ok]
;W[oj]
;B[mh]
;W[fd]
;B[gd]
;W[fh]
;B[ei]
;W[fe]
;B[gf]
;W[gc]
;B[gh]
;W[nk]
;B[ol]
;W[lc]
;B[gj]
;W[hi]
;B[gk]
;W[gl]
;B[hj]
;W[ij]
;B[fk]
;W[ii]
;B[ik]
;W[dr]
;B[bs]
;W[ds]
;B[fg]
;W[de]
;B[rf]
;W[qh]
;B[lg]
;W[sf]
;B[se]
;W[sg]
;B[qe]
;W[ai]
;B[aj]
;W[ah]
;B[bj]
;W[mb]
;B[nb]
;W[np]
;B[ls]
;W[jk]
;B[hl]
;W[jl]
;B[kl]
;W[im])
(;B[mr]C[Black should capture the cutting stone
Perhaps Black feared being cut off]
;W[om]
;B[nk]
;W[nm]
;B[pj]
;W[jr]
;B[ls]
;W[pi]
;B[nj]
;W[ni]
;B[qj]
;W[rn]
;B[mi]
;W[lj]
;B[mh]
;W[og]
;B[mg]
;W[pf]
;B[ki]
;W[mm]
;B[jk]
;W[lm]
;B[ll]LB[ir:A]C[Black lives quite easily and can still play A now]))
(;W[jr]C[If White had cut here]
;B[ir]C[Black should still capture the cutting stone
This may seem contradictory as White will capture the corner but there' a big difference, as we'll see.]
;W[lr]
;B[js]
;W[nq]
;B[jp]
;W[ko]
;B[mr]
;W[nr]C[White captures the corner, just like in the game]
;B[in]
;W[np]
;B[ls]LB[jn:C][jr:A][hs:D][ks:B]C[Compare this to 87 in the game
A makes 2 extra points, B and C are 1 extra each and with D Black will take away a few more points
So this better by about 5-10 points]
;W[om]
;B[pj]
;W[pi]
;B[nk]
;W[oe]
;B[qf]
;W[nc]
;B[eb]
;W[db]
;B[ci]
;W[dh]))