Re: Doesn't sound right
is the "quite" delexicalised
I would be inclined to say no, though linguists with more experience in this area might well disagree. "quite" as a non-specific quantifier is more or less the most common contemporary denotational usage.
Contrast the phrase "quite a few", a collocation in which "quite" arguably is delexicalized (though you could consider it an ironic inversion of the lexical meaning).