I agree .177 is no magic cure.
If a Polo mint is the kill zone, what is the difference and optimum "point blank" for the two calibres? You may take the .20 having an additional 4mm of destructive "stiletto" track, but use normal expected pellet weights in your calculations. Polo mint 2cm?
Answer that, and then tell the FT and HFT boys they have it all wrong for they are trying to range find to a quarter of a meter. And they aren't even going for Polo Mints.
I'm not doubting those that put the time and effort in can't get satisfactory results with a .20. I'm not suggesting not getting a .20 for the fun of another set of issues to sort out. To me shot placement into a vital is all that matters, taking account of the conditions of the day.