My point exactly. Despite your protestations, no term has an objective meaning. It is part of the very nature of language that every term has only subjective meaning, based upon subjective valuations.
While you think I am taking your comment "to an absurd level of literality" you must surely be aware that there are some folks who believe that what WotC has done with the D&D name (either in 3rd, or in 4th edition, or both) corresponds exactly to the same absurdity that makes you say "Of course it wouldn't be D&D."
If I take a Zenith DVD player and write Sony on the top, does that make it a Sony DVD player? Of course it doesn't. Likewise, if I take any game system and write D&D on the top, it obviously doesn't make it D&D. Even if I am WotC.
While I personally accept that 3e and 4e are D&D, I fully understand why some others do not. They believe it is a Zenith DVD player with Sony written on the top.
Which illustrates the problem when one begins to censor on the basis of "vagueness". Any term is "vague", and the degree of "vagueness" is more often than not based not on inability to understand what is meant, but unwillingness to do so. This is not censorship to make communication clearer, but censorship to repress specific ideas that the would-be censor doesn't like.
IMHO, of course. YMMV.