The other way you could approach it is by using a heating pad over the concrete floor with tile i d also use a isolation membrane here over it.
Tile over foam insulation.
I usually stick them down with ardex x7r or mapei keraquick lay the ufh slc with arditex na or mapei fibreplan then tile with x7r or keraquick subject to the type of tiles being fixed.
12 pk blue charcoal acoustic foam tiles soundproofing foam panels sound insulation soundproof foam padding sound dampening studio sound proof padding 1 x 12 x 12 4 2 out of 5 stars 501 19 99 19.
It s important that there is no movement under the tile.
There are several ways to install subflooring above the rigid foam.
If your basement slab lacks sub slab foam you ll have to install the insulation above the slab.
Some types of thicker foam board insulation are available but they may need to be special ordered.
2x2 foot foam tiles are easy to install over concrete tile or any hard flat surface for basement floors kids room and home exercise areas.
If anything i would use 3 4 exterior plywood over the styrofoam and then an isolation membrane and tile over that.
No neither ceramic tile nor wood flooring should be installed directly over rigid foam insulation.
Foam board insulation is easy to use and is a great diy way to add some insulation.
For tile i d contact the tile council of america or now it s called tile council of north america.