Welcome back, Worthy. Please put a first name in a permanent signature line for us to use.
By "composite tiles" you're referring perhaps to vinyl composition tiles of one sort or another?
Do they come with installation instructions that might be helpful in determining what the manufacturer requires for a proper substrate?
I've not done much work with those tiles over the years, but I know some of them are very sensitive to lack of smoothness in the substrate. I can't imagine anything over a ceramic tile installation other than a self leveling cement being sufficient.
But let's see what others have to say.
My opinion; worth price charged.