Pitch up moment
NWA SLF
The whole discussion about pitch-up tendency on B737's stems from why MCAS is needed on the MAX.
It has NOTHING to do with engine thrust. Is has to do with the position of the engines. Since the engines have moved forward on the MAX, (because they are to big to stay under the wing), they generate lift and thus pitch-up tendency at extremely high angles of attack. This is beyond certification limits for passenger aircraft (pre-stall behaviour), hence MCAS for the MAX. Absolutely no issue on the -500.