I won't comment about omniscient and any particular player, but in
games between SlugGo and Many Faces, we play statistically even
at 4 stones. We played games between h = 1 and h = 6, and the
winning percentages move from Sluggo winning about 80% at h = 1
to SlugGo (extrapolated from data up to h=6) looking to loose about
80% at h = 7. These bounds are weak on the high side because we
did not play that many games at 5 or 6 stones.
So, between these two programs, the 95% win rate is 4 or 5 stones.
But winning percentages in relation to stones change when you go up in