Trying not to go into to much detail, but this seems obvious assumptions to make. Someone is badly hurt, you use medicine to heal them, then they rest off their injuries. If its real bad you can resuscitate someone. But that is about it (in my experience).
This leaves medic type characters filling that architype in a very reactionary role. If people are not getting hurt, you have little to use that skill on. Moreover, there are many tools that can be used without skills to achieve the same thing at cost.
In line with performance boosts and buffs, could there be scope to get temporary buffs, based upon a skill check of medicine (plus a few other things) to give a similar appropriate buff? It could give medic archetypes scope to mechanically help people without the need for them to be injured. It also gives more weight to other medical professions on a mechanical level. Like, psychiatry, physiotherapy, chiropractors and so on.
Things like regular check-ups, post healing buffs during that period of ‘only time will help’ and hopefully a themely push towards ‘your health matters’ without adding in debuffs.
There are implementations of skills and characters applying buffs to others, it would be great to see that expanded more, and give those medical characters that aren’t just plugging bullet something more to play with mechanically, especially those in less busy medical roles.