It doesn't matter if you're actually innocent, what matters is whether they can cast doubt on your innocence. Do you think you could repeat a simple story that just happened to you recently in multiple different chronological and detail configurations/contexts without introducing some inconsistencies?
That's probably half of "in vino veritas": drinking is an excuse to spend a few extra hours with nothing to do but chat.
I assume the true experience is done first to give a basis for comparison, since this is based on the idea that people paint pictures of their memories less reliably when they're fabricating them on the spot.
Having poorer recall actually might bias the results more in favor of a lie, if the interviewer doesn't reject the method as unsuitable or inconclusive first.