I can see how it would work against me. The question is how much it would work against me, and whether it can be turned into an unlikely advantage.
Self-publishing already works against me. The act of self-publishing already puts me at a negative in the eyes of a lot of folks. There is probably considerable overlap between the people who consider self-publishing a negative and who consider the name a negative.
The question is, among the people who are OK with self-publishing, would they consider the name a negative, or a curiosity? Curiosity could work for me. The second question is, for those who consider the name a negative, is it an additive or a concurrent negative? What I mean is, if they already think self-publishing is negative, does using TBDR increase the over negative or is it "just another reason?"
That's important because if they're against self publishing in general AND against the name, but the name is a lower threshold, then because it's a more distinctive negative I could focus energy on turning *that one* around. If someone said "I read this book written by 'The Baptist Death Ray'" and someone else says "you can't be serious" and the response is "well, yeah, but it was really good." (I'm thinking best case scenario here) then, depending on the listener's opinion of the person who read the book, I've potentially attracted a reader both in spite of AND because of the name.
(Keep in mind this is all hypothetical. I could be utterly off base here.)