Seeing how healing supplies is less available in v6, and medicinal herbs is more valuable as a substitute. I believe it'd make perfect sense for fighters to also have a Heal-themed perk, like Physician or Medicine man.
They are learned combatants, always on front lines, suffering and inflicting wounds. Makes sense some fighters would pick a combat medic route to support brothers at arms on the edge of assault.
I personally like this idea. And as an added incentive for the combat medic (familiar as they become with anatomy), I'd give their equipped weapon a 'wounding' property as an activated fighter perk (not an insignificant one either).