Well, since you are wondering, the answer is no, the religious analogy doesn't hold water. A more apt analogy would be the kinds of entertainment people enjoy. Music, TV and so on. People do not like having things they enjoy discontinued, insulted, and replaced with inferior versions, especially when those inferior versions are using the name of the thing they replaced.
Guns n' Roses is my favorite analogy: Axl can fire the entire band, decide that GnR needs to sound more like NIN than like GnR, go through several lineup changes, and still apply the GnR name to whatever band he comes up with next.
New Coke also works as an analogy here.
Brand identity is a powerful thing. To try to capitalize on that brand identity to sell your new product, when it appears you have no respect for the qualities that made that brand successful (as seen by the 4E's team relentless bashing of 3E and earlier editions), is cynical and insulting. I'd like to have seen the 4E team release their idea of a fantasy RPG as a brand new game and see if its mechanics were good enough to dethrone D&D. And I'd like to see Axl release his new album without the GnR name. But in either case, the brand name is just too lucrative and trying to succeed on your own merits too risky. If you have the rights to the brand name, you're going to use it.