I already have 240V baseboard heat in my bathroom. Can I run the 240V version of tile heaters off of the same thermostat? I will, of course, make sure the thermostat can handle all of the current.

my baseboard heat and thermostat are both 4 wire.

I am not interested in paying $80 for a second thermostat.
Can I use 1 thermostat for both systems? (I was looking at a system made by Easyheat at Menards)