Does "I admit this without a single caveat" mean "I admit this unconditionally"?

Context:

Worse still, I have persuaded others, and many close to me, to reject the very idea of God. They too will languish in "eternal fire" (Matthew 25:41). If the basic doctrine of Christianity is correct, I have misused my life in the worst conceivable way. I admit this without a single caveat. The fact that my continuous and public rejection of Christianity does not worry me in the least should suggest to you just how inadequate I think your reasons for being a Christian are.