I think the question of whether Governor is higher or lower than a House seat depends heavily on the state and, to some extent, the politician in question. Same goes for some of the other local executive offices mentioned.
I think House-to-Governor is an upgrade regardless of the state. Senate-to-Governor is ambiguous, and roughly corresponds to whether or not the state in question has more than one-fiftieth of the national population. That put's the breakeven population at around ~6.6 million, which is roughly the size of Indiana.
Agreed, except that it's not quite just based on population - the power of the governor also varies state by state; for instance, after Cooper and Evers won, Republicans in NC and WI, respectively, weakened the powers of the governor quite a bit. In NC in particular, there's only a 3/5 threshold for veto override and the governor cannot veto the maps the legislature passes. Otoh, up in NJ, the governor appoints the holders of all the row offices, giving him some power by virtue of patronage.
