I really hate whenever I try to explain how some bad rules can be abused and immediatelly get someone say shit like “If this happens in your group, change it” as if that would solve the problem. And whenever it is not soemthing you witnessed personally, then it means it never happens and could never happen.
I think you’ve conflated part of those rules - there’s nothing in the medicine skill saying you can only do it once per wound, just first aid. So you can deal/restore 1 damage in between medicine checks, but that’s not what let’s you keep making medicine checks.