Regarding lower pressures, I tried it and I believe it works.
I've been really struggling with traction this winter, mainly when getting going from a stop. Today I decided to drop the tire pressure a bit to see if that would help things. The door jamb says 28 psi, and I had been running 32 psi. Dropped that down to 30, and it got noticeably better. Wheel spin is inevitable going up slopes or deeper snow, and there was a lot less of it after the pressure drop.
YMMV