It moves Forward because the Conveyor belt doesn't apply significant force to the airframe the wheels spin freely the force the prop generates is not applied to the conveyor belt and will continue to move the plane forward in all situations (the bearings on the belt would fail first)
I'm more confused now than when I started reading this thread, lol. I guess the obvious question is: can a plane take off on ice? Yes it can. Thus, the ability of the wheels to give the plane forward motion is clearly not relevent.
you are right in part in that wheels don't give forward motion - however swap wheels for mountainers ice picks and take off on ice may not be so easy? Seriously doubt planes gonna get to top of Everest either ?
But it's not very practical. I mean try landing on an aircraft carrier...how large is the summit anyway?
I dont think the size of it really matters, considering it would all be jagged rock. not exactly a smooth surface you want to land on at 200mph.