My take on this is if you hit a patch that has layers of wet leaves, it doesn't matter how good the tire are, it is the leaves slipping over leaves that is the problem. This can be really slick.

If you can somehow avoid layers of leaves, then tires that can get through the ground up muck might help. Knobby, bumpy tires would be better. Also lower pressure so you can get more knobs or bumps in contact with something firm like the road.