The Count:

This demonstrates that better granularity removes the effect of tedomari.

Yes. The button was, in fact, designed to eliminate, in the vast majority of games, the effect of tedomari at the level of Japanese dame in area scoring. Since getting the last dame does not matter in territory scoring, button go combines aspects of both area and territory scoring.

BTW, you have rediscovered Professor Berlekamp's universal enriched environment. :-) See Games of No Chance.