Diesel in the Snow

[Agreeable Slick]

Back splash.... never a pleasant experience.

[flc1962]

Not when you work in an office and it starts to warm up.......

[Snoopy]

Want to get around easy get some wheels/tyres with no profile they scoot around in the snow (less surface area)

Im guessing you meen higher profile and less width.
The contact area/surface area is the same but its the shape of this contact area to the ground that changes(if the weight and pressure is the same).
Rather than been wide(left to right) and narrow(front to back) (helping cornering grip) less width (left to right) increases the (front to back) size which helps traction but the contact size and area stays the same its just changed shape.

[flc1962]

Yes thin tyres would be better, fat is better for grip on normal roads as there is more tyre on the road, Could also try letting the air out a little so the tyre is not so had this also helps with grip. Not a real solution though if your on your way out