Dry pavement...the more contact the better...
Slippery to off road...depends on what you are driving on and desire either penetration
or flotation
If still on solid pavement...do you wish to float over the water/slush/snow? or
penetrate down back to pavement?
If iced over, do NOT drive or have chains and/or studs ***AND*** go SLOW
If off road in the dirt...how deep is that dirt/gravel/etc? If not
that deep, then penetration through the mud/gravel/dirt/etc down to hard pack
If too deep, then flotation over all that stuff. Either by airing down to create
a larger 'apparent' tire dia and/or have more contact patch with wider tires...or dually
Also, a lot depends on how heavy your vehicle is. If it is very heavy, no way
will it float over that kind of stuff
Airing down for a larger apparent dia begets an apparent tire dia of over 8 FEET
and on some tires...creates a 'cup' at the bottom of the flat-spot
It all depends...