Yes, the MIPS factor is the same for zIIP and CP engines for full speed 7xx models where the zIIP engines run at the same rate as the CP engines.
For 6xx and 4xx subcapacity models, the zIIP/zAAP engines run at full speed, but the CP engines run at a slower cycle rate. This means that a CP engine CPU second accomplishes less work (experiences fewer machine cycles) than a zIIP or zAAP CPU second.
So, for un-normalized (actual) zIIP CPU time on a sub-capacity model - the MIPS per CPU second would be greater than the MIPS per CPU second for a CP engine. If the zIIP CPU time is normalized, however, actual zIIP CPU time has been inflated (e.g., multiplied by a factor greater than 1 (like 1.35 or something like that))…so if the zIIP CPU time is normalized, then the MIPS factor would be the same.