UA has many, many problems, not the least of which is the utter lack of any evidence of any kind. But relativistic velocities is still a very, very big problem. It would affect our interactions with everything outside of our frame of reference. For starters, stars would move... rapidly. The 4 light years we are away from our nearest start would change on a daily basis.
The whole point of UA is that the stars, and everything else that we observe, is accelerating along with us. Good luck proving that they aren't.
Sure, it would be easy to dismiss UA under normal circumstances. But given the flat earther constraints of: all space exploration based evidence is fake, all astronomical related evidence is blindly dismissed as perspective/aether, any experiment that they can't repeat for themselves is faked, etc... it becomes a bit more difficult.
Edit:
Which leads me to my next, also possibly moronic, question, this time directed at ski. Why is gravity incompatible with FET?
Must...resist...answering...
Through indomitable willpower, I will leave this answer for Ski.