The point is you do not expect to have to respect others's beliefs/ideas etc whatever you wish to call it but you demand all respect yours.
Using sophistry to illogically brand your "brand of atheism" as somehow something different than what it is to avoid having to admit to your hypocrisy requires one to change the rules of logic and the English language from what they are into some thing else. Its a common Atheist tactic, and its never worked because anyone over the age of 5 should be able to see right through it.
Saying that one does not believe in something, or saying that one disbelieves in something doesn't matter either way...such double talk doesn't change the actual facts, it may work on elementary school students but it doesn't hold much weight with adults.
Categorically your still saying the same thing...its your concept (ie atheism) vs theism and that concept is rooted in no more validity or provability than the other and hence deserving of the same respect, no matter which way you try to white wash it.