Invariably. But I thought that was only "Thunder's Law," and I'm delighted to see that it applies to others. If I punt a position, virtually guaranteed that the AAA at that position will be some 5 contact, D fielding, E/F stamina bum (and few if any of my other AAA's will have relevant secondary positions) . If I have a full roster with high PA's, then I get the high contact, decent fielding, high stamina AAA's. Basically the same principle for pitching. And my AAA SS prospect is usually my highest stamina guy, and I always assumed that was because SS is usually where I need or want fillin help the least.
Also ever notice that AAA prospects for your teams seem to come in bunches? It's rare to have a single outstanding AAA prospect. Either most of them are pretty good or, more commonly, most of them suck.