I would prefer to kill the fight scene 5 seconds before the cool-down expires so the next round is not delayed, or at least make it an option that can be checked like auto fight. Fights in Rag do that all the time.

If that is not possible (and I do not see why not since it is the way it works in rag) then the kill or speed up the fight scene buttons like in the pond.

This will solve the problem of fights taking too long and preventing the next round to start on time.