Movable kitchen island on glueless vinyl
I’m sure the unglued vinyl will “ball-up” when moving (rolling) the counter. 

When we do libraries, we always glue the carpet down or it will “ball-up” when they push the book carts around. 

You’d better find a way to “anchor” the counter down too. (When my drunk friends come over they always lean on the counter. ) Maybe there’s a caster with suction cups too.