Apatheist

Apatheist and ignorestic are slang terms that describe a person who is technically an atheist (does not believe in a god) but does not approach atheism from a rational point of view and has not considered many religious or apologetic arguments.

Apologists who claim that "I used to be an atheist" are very likely to have been apatheists. Usually their conversion story does not involve a change in their intellectual understanding of the arguments, but instead revolves around an emotional experience or a first encounter with unfamiliar apologetics.