Hey not so fast man. Maybe those tiles are glued down with epoxy and rock solid. Certain screeds advertise themselves suitable for going over vinyls.
I bet they do, but if its not solid and they all start peeling up I bet the screed company won't back it up! I guess it depends how big a job it is and what going over it.
I used to love using balls 700 a few years ago before they turned it into a plaster instead of a screed!!