Not sure if it's the same thing, since everything seems to hurt you even through blocks, so without constant HP regen you'd get worn down, and HP doesn't regen at all naturally, while stamina does. Since food is something you're expecting to use, then factoring stamina regen into it would conversely mean it should be even worse than it currently is if you have no food buffs, which would make health-focused diets untenable since they'd have it even worse than they already do.

I haven't had a problem with stamina regen myself, but the game has stuff like Tasty Mead to trade your health regen for improved stamina regen, so there are ways to do that.

Either way, it seems stamina regen is deliberately disconnected from food. Probably because, again, the expectation is that you need some food buffs to be even semi-competent, so if it was incorporated, the baseline we have now would be what you would have AFTER some buffs, meaning it would have to be even worse with no/bad stamina buffs.