Iron Heroes - a d20 game for Sword and Sorcery that had virtually no healing had a very similar idea.
You had your hit points, then you had a pool of "virtual" hit points (don't remember what it was called) of the same value. When you took damage you would replace HP with the "virtual points" after the fight a certain amount per round or minute or whatever until you were fully healed. When you ran out of the virtual pool, then you just took damage.
Similar idea and reasons.
It let you play without a healer (as the game really had none).
It let you get wounded and recover, but it did slowly drain away another resource.
It was meant as an out of combat healing - so if a really nasty fight happened, they couldn't heal in combat.
So it worked as a reinforcement of theme, as a pacing mechanic and still allowing fora nasty encounter to threaten the party.
Personally pretty much every rule change from Pathfinder to Starfinder is one I liked. Planning on using Stamina/HP system to Pathfinder, just so no one needs to play a heal-bot.
There's a reason why Saga Star Wars switched away from D20's wounds - a couple of (un)lucky 20s will totally change a battle with no regard for how well or poorly you were doing at the time.