Yeah I dunno I get it if there's an intentional buffer so you don't get sniped (to whatever degree that matters now), but the way it's working is.. not like that. It's taking too long after the battle winner puts their Pokemon in to let the next player. I dunno if it's a time thing, or if there's a way to make it 'work better'.. one time I restarted the game a couple times, took a couple mins, finally let me put in. Other time my friend was able to get in after feeding my Gyarados, dunno if it was coincidence or if it jumpstarted the system. Nothing else was working.