Maybe, but does the name really matter?
I think the issue isn't so much the name as the flavor and mechanics.
Like, "does it work in an anti-magic field"? Of course it does, it's not a spell!
I don't think this has to be "just as many things and just as powerful in every way as paladin or ranger spellcasting".
And basically, you've got this wall of text here about balance and tradeoffs, and you're saying that as though anyone has ever said or even hinted at something that it would contradict or correct, and I don't think they really have. I don't think the thing people are actually asking for is unbalanced; I think you're just assuming that they want all this extra stuff they haven't said they want.
And honestly, I think battle master does a pretty good job of this, in that it gives you a selection of powers you can learn, and a consumable resource to use them. Just with a little more range, so they aren't all basically cantrip-level.