Mayny SUVs have lower recommended pressures to help keep them from rolling over. The tires slide sideways rather than provide lateral grip enough to roll over.
Of course electronic stability systems have reduced the problem with the tire pressure / roll over problems.
Yes. I used to run a lower pressure in my old wrangler. It did help with stability. On my front drive sedan the sticker says 28 psi. I run the fronts at 30 cold and the backs at 28. The steering is more responsive and the tires don’t wear on the outer edges anymore.