Some awful puns here-- and how did Mr. Crowley come into the conversation?
My enemies, who treat me foully
Pronounce my name as if 'twere Crowley
But since I know that I am holy
I say it as Alastair CROWLEY

Sabine Baring-Gould deduced that Moriarty had been Holmes' mathematics tutor during childhood-- Nicholas Meyer took that and ran with it (in the Seven-percent Solution) in one of the most enjoyable Holmes pastiches IMHO. Carol, accepting the premise of the Baker Street Irregulars, (Holmes is real, and the stories are internally consistent) I agree with you that Holmes could not have been Moriarty, or he would have been very bored solving his own crimes.