Here's the problem with ICE landings.
On a
paved runway, If you have a Cross Wind..you can "Crab" the approach...ie: You are floating in with the plane cocked sideways to compensate for the crosswind...
up to a point.. No problem... .
Just before touchdown....you then straighten the plane out ..with the rudder..touch down...and depend on Lateral (sideways) Traction...to keep the plane ON the runway.
ON ICE...NO Lateral Traction. You quite likely slide off the runway....
Bang Ding Ow...
NB
PS: Today's planes have
Steerable nose wheels.. or tail wheels in some cases for ground ops. Differential brakes are also used. ON ICE..Brakes are pretty much useless...