I suppose the possibility also exists (as far-fetched as it must seem to someone like you) that his progress would be faster in an alternative universe in which Wren remained as GM.
But I strongly suspect that his progress would have been about the same regardless of who was in charge.
Didn't you hear that Wren was trying to get Albies to bulk up and develop his Raw Power®?
He even re-hired Larry Parish to help him with his on-base skills.