if you go with ceramic tile you should lay down backerboard,glued and screwed to the existing plywood..ceramic tile should never be installed direct to plywood (yes i know people do it ,but its still wrong)
if you go with lino,it depends on how smooth the existing plywood is.(think sheet of glass smooth) to play it safe add a 1/4" sheet of acx plywood use "ring shank nails" or staples to hold it down,(available from any flooring supply company)then prep the floor with a thin coat of floor patch,cement type
the vinyl will look only as good if the floor was prep'ed...............good luck

p.s. SMOOTH AS GLASS