We've covered this before. The relative motion of a moving user terminal on a ground vehicle should be a non issue, especially since they intend to offer it for use on boats and airplanes. The real issue is that there's nowhere nice to put it since it's big and metal would interfere, you'd have to either come up with a way to transparently integrate it into a sunroof or to integrate it into a non-metal body panel (i.e., a plastic/carbon fiber/fiberglass hood or trunk lid), which is doable but not cheap.
We'll probably not see starlink terminals on regular cars (busses, RVs and Semis could be reasonable) for the foreseeable future both due to complexity of integration and if nothing else, the utility in dense cities is limited due to line of sight required to operate - it's utility would be mostly in rural applications, where cell coverage may not be so great. And it's probably easier and cheaper in the long run to just dot the countryside with solar powered, Starlink backhauled cell towers than to equip all vehicles with starlink.