EB IB vs. MF PE/PC Comp Trajectory (2023)

Looking for an updated comparison strictly regarding general comp trajectory from the analyst level onwards. MF (KKR/BX/APO) is considered more "prestigious" than EB (LAZ/CVP/EVR) so EB -> MF is often more common than MF -> EB, but curious as to who today's $$$ favors with base bumps across certain banks. I am also assuming the actual difference between top PE/PC guys at the MF level is largely negligible, since carry is highly variable.

Also a side question, curious as to which would place better into B-school down the road between the MF and EB brand names. 

Totally understand there's more to these decisions than prestige, comp and b-school, but just curious and would appreciate some input, thanks!