ive installed new "click" type floating floors in three trailers. I always removed the old vinyl, easy to do, it wasn't glued down. removing the old floor gave me a chance to inspect the subfloor and repair as needed. I did remove it inside the cabinets as well. its still underneath all the cabinet walls except the vanity that was easy to remove
the latest trailer also required an entirely new subfloor in the slide. the slide has the dinette and couch, easy to remove.
love the new "wood" click flooring, I installed a small trim(door stop actually) all around, white around the panelled walls and stained pine around the cabinets
i'll get some pics but posting pics here sucks