In the hit points do/do not equal meat argument, I've always like the 4e version which has half as meat (kind of), half as something else. Becoming bloodied means that you've started to get cuts and scratches. Some of this has come up in 5e, the champion's regeneration or life cleric's channel divinity heal only restoring up to half hit points, i.e., restoring the meat points.
I'm fine with the ease of using just one pool of hit points, but if you wanted to represent meat points and slow healing, you could split it into 2 pools: one wounds, one vitality. Cure spells can restore wounds, a nights sleep restores vitality, hit dice restore both (regain hit dice during a long rest, spend them to restore wounds).