They'd be better at nuance and reasoning correctly in such a way as to produce consistent outcomes for personal and group survival.
Warm weather critters are consummate entertainers. They'd be all about performance art, theatrical posing, the semblance of some virtues, braggadocio and superficial posturing.
The same qualities that would serve you well in warm weather in tribes of thousands of people would be a death sentence in cold weather in small tribes of less than 60 people. There's no fooling or posturing at 300 degrees below zero. For example, you'd have to be a good firestarter at that temperature. Seeming to be a good firestarter or mixing firestarting with a lot of dance, singing and ritual theatrics would get you killed very quickly. The goal is to start a fire. As quickly as possible with as little wasted energy as possible. Failure to start the fire in under 5 minutes means you will freeze to death. There's no way to trick somebody else into starting your fire for you with a muscular pose, a steely gaze and a lot of chatter about how you have more important things to do. You'll freeze to death. Start the fire, period. No Sapiens theatrics needed. Just brains, hand-eye coordination, hyperfocus and highly conservative motion.
In cold weather temperatures you'd take advice from people with real leadership qualities. Not confidence. The brightest people with the best snap reactions would be your elders, long proven to be good at surviving in many conditions. Chances are your elders would be quite modest and a little self-deprecating. People would consult with them because of their humble air, not in spite of it. You'd know that here was substance and wisdom, proven by experience. I am sure a Neanderthal elder would speak of himself as not much more informed than anyone else in the tribe. Of course, ridiculous. He would be consulted with wherever there was sound judgement needed on any subject. In Sapiens societies, elders get beaten up and cannibalised the instant it looks like they are losing their vicious edge, just like in wolf packs. There is no secure retirement for older people in Sapiens societies. Nobody thinks much of their wisdom because they have none themselves to reflect upon.
In Africa, you'll see a guy striding about with a top hat on and suspenders he has found in the garbage somewhere quickly rising to the senior position in a tribe. Look at that top hat. Look at those suspenders. That patrician air. What have you and what not. Everybody, let's follow that guy. That explains history.