Yeah, I would. I tried a lot of different systems after becoming disillusioned with Second Edition, and I came back to D&D because I felt Third did what I wanted my rules to do better than any other system I tried. I was glad it was badged, "D&D," simply because I was glad to see that D&D, the first RPG I played, was again the best (IMHO, obviously) RPG available, but I still felt it was a very different game than the D&D I loved and eventually grew tired of. Fourth Edition looks like it's going to repeat Third Edition's feat; it's going to be the system that best supports the game I want to play, and it will be badged as Dungeons & Dragons, which will make me feel warm and fuzzy because I'm continuing a tradition I began when I was nine.
Now, there's the obvious fact that calling the game, "D&D" makes me automatically aware of it and interested in it. That's not necessarily going to be true with other games. Unless it's based on a license I'm interested in or produced by a developer or publisher I respect, I probably won't become aware of it. There's also the fact that, while 4E is a very different game than 3E, there's still a large amount of continuity in terminology and concept that dates back to the earliest editions of D&D. That makes me comfortable, and while that would still exist whether or not 4E was badged, "D&D," the fact that it is D&D Fourth Edition makes those concepts and terms more evident and obvious. There's no, "Y is X from D&D, but we can't call it X because of copyright or trademark concerns."
I'm sure there's a very good chance that my "perfect" fantasy RPG lies on the bottom shelf somewhere accumulating dust, and because it doesn't have a name I recognize attached to it, and no one has recommended that I check it out, I'm never going to play it. All I know for sure is that after playing BECMI, 1E, 2E, 3E, 3.5E, RQ, RM, GURPS, T&T, HM, C&C, Palladium (gasp! really, I did; feel pity), C&C, Earthdawn, WHFRP, three different versions of LotR, and a dozen other systems I can't remember, 4E is shaping up to do what I want my rules to do best.