The Star Wars d20 RPG got so close on fixing this. They gave PCs a pool of wound points equal to Con (good) which heal slowly. Then they gave them a large pool of vitality (good) which heals quickly and represents luck, skill, and other intangibles. Attacks that damage vitality are never real hits, and you have to exhaust vitality before you take wound. (Good).
Then they made crits go directly to wound and bypass vitality, making a game centered around lightsaber combat basically "stack crit and hope you crit before your enemy did" because vitality was useless. (Very bad) PCs often died with 54 vitality left and -6 wound in one hit. Improved crit was god-tier. A common house rule that allowed you to survive a crit by instead losing a limb instead made PCs look like Darth Vader by 10th level. Lightsaber duels between jedi and sith lasted 3 rounds tops. The body count would make a killer DM using 3d6/order blush.
We were on the verge of greatness. We were this close!
Saga abandoned it, and that was the end. But it had some neat potential, if only to allow a mix slow healing wounds and fast healing vitality.