Gygax himself described HP as largely intangible, with only a few being actual physical damage.
So you are proposing that some of your hit points represent physical state and nothing else, and others of your hit points represent intangibles and nothing else. In other words, a wound/vitality system. I'm perfectly fine with that, it's my preferred system in fact, but on the list of things that have been in D&D, it ain't one.
The way I've seen D&D narrated before 4E, each individual hit point has been a mix--some physical state, some defensive skill, some luck, some divine favor, and so forth. But that means
every hit point incorporates an element of physical state. If you lose a hit point, you take a wound.
How big a wound is going to vary, since the mix is not the same for everybody. The hit point of a high-level fighter is maybe 90% intangibles and 10% physical, while the hit point of a low-level fighter is 10% intangibles and 90% physical. So when a high-level fighter loses 1 hit point, it's just a scrape, where a low-level fighter losing 1 hit point has taken a minor wound, and an elderly commoner losing 1 hit point is very possibly mortally injured (if that was the only hit point she had). But they've all been wounded.
Overall, it seems awfully nit-picky to let a little game jargon get in your way. Every game "rewrites the dictionary". That's how jargon works (and every game has jargon). You take words, and you assign new, specific meanings to them.
There's a difference between using "fire" to describe effects produced by heat (which might not always be a literal open flame), and using it to describe effects produced by sound. The former is a slightly abstracted, stylized version of the English meaning. The latter is rewriting the dictionary.
In 4E, what is described as "healing" is in the majority of cases not healing at all. This, I object to. If it were just a once-in-a-while corner case, that would be one thing, but in 4E it is more common for "healing" to be not-healing than for it to be actual healing:
Clerical powers: Healing.
Healing potion: Healing.
Second wind: Not healing.
Warlord powers: Not healing.
Use of healing surges in a short rest: Not healing.
Recovering all surges/hit points with an extended rest: Not healing.
If it's not healing, then Wizards should change the name to something that fairly approximates what it
is. If it's "just game jargon," I don't see why anyone objects to this. Those of us who care, will be happy. Those who don't care, aren't affected either way.