You can make whatever categories you want. But if your definition of "bug" is in disagreement with the rest of the world, don't tout it as having "zero bugs". Just pick a different word, one that doesn't mislead.
I understand that the issue people have is with the wording of the zero-bug. As I've mentioned elsewhere it's still true that it is a striving towards zero-bug and I've seen it first hand where we get to 0 known bugs.
I'll meditate on this a little and see what I come up with. I really do appreciate this feedback :)