For now the only thing you can do is open the pc and take them out and heal them. I haven't played the games in a long time, but wasn't it like this in the games? Or where they fully healed?
Pokemon are healed after being caught. Only if sent to the PC. If sent to your party their health status remains.
Well thank you for the report. This definitely needs to be fixed because we want the game to be just as much like Pokémon as possible