The result menu works like the Capcom games, both players pick their own options, if either chose character select, then it forces both sides to go to character select.
The FPS drop between rounds is due to caster syncing the RNG state, I've found it sometimes changes between rounds, so I must force it to sync up at those points. Shouldn't be an issue though since it happens before the round actually starts. Maybe I can figure out how to hide the FPS drop.
Edit: @Tonberry, the replay seems to work fine for me.