>>1786850I know the story went a different route to create conflict, but I feel like if something similar happened in the actual games, Nurse Joy would have at least some knowledge of what to do. These situations, while probably uncommon, would be very likely to happen.
That said, the anime does have at least one episode involving a human hospital and doctor (even if he has to heal Pokemon). I can remember times when one of the human characters are injured they wind up in the Pokemon Center too. I could be misremembering, though.