I've been confused by things that aren't hit points but are in some ways similar (stamina or magic points, that sort of thing) a few times but as long as the gameplay is fine, I generally don't linger on it.
Meanwhile in TTRPGs, I wish hit points would either shrink significantly or just go away.
Yea partially I am on your side, I love it that in the now level-less DSA your characters health might be the nearly the same throughout the game or lets say 28 in the beginning and 44 in the end. It is DSAs take on bound accuracy, but, they got a wound system, means dropping to 3/4 1/2 1/4 and 5 HP left has severe consequences mechanically depicted as debuffs, and the armor system is based on damage reduction, not on hit chances.
Where I disagree is on low levels, you should have some bolster there. E.g. let us say a 20the level fighter gets 80HP at best, if he starts out with only 10 then it is still 8x as much.
The other application where I bigly agree with your POV is in computer games (Also D&D ones!)
At first level you got 20 HP and hit for 1d8, at 10th level you got 1000HP and hit for hundreds.
But that may be to grant linearity and still a level up experience.