Despite your insistence of brand association, 4E still would not be as popular as it is now without being labeled as the next edition of "D&D." I think that once you get that, you can move on
In business, there are examples of stunning successes from brand association and examples of stunning failures of pure branding, and vice versa.
Whether the game would be bigger or not is not provable. I stated an opinion based on my education as a MBA of Sports & Entertainment Marketing and my observations of the Edition Schism and things that ENWorlders have been saying about 4Ed (good & bad) for the past 3 years.
But its just an opinion.
I think that once you get that, you can move on to provide some interesting 4Ed variants of your own in this thread.