An Infinity Machine contains no AI, unless you write it. It isn't qualitatively different from a normal finite computer, except that it has unlimited storage space and you get to ask questions of the form "will this program ever produce an answer, if I run it forever?". It does ordinary mechanistic computation, just very very fast.

Large-scale neural nets are an interesting idea, though, and certainly they neatly dodge my basic methodological objection. I think I wouldn't be confident enough of getting decent results to spend my limited time on that particular approach, but good luck with it if you ever find yourself in this scenario :-)