I fail to see how questioning the validity of the technique constitutes "goal-post movement". I requested citations and you supplied them, which I appreciate. I fail to see how said exchange requires that I respond "oh, hey, there sure are a lot of papers, you must be right!"
On the other hand, I must concede that I previously failed to look closely enough on first inspection at your third link. In my opinion, it does a great deal more to substantiate your statement than the IAT stuff does. I'd like to see similar studies with much higher n, but it's hard to argue with the analysis.