Bear in mind, you don't have to go out and buy a "full system " to try L/M cleaning. All you need is a low speed rotary, with drive board and test a few products.
The "systems" use heat and their own chemical formulations, but you can find plenty of alternatives. I have used texatherm with astonishing results and users of the other two systems would probably claim the same.
HWE and low profile tiles is not a great combination due to restricted air flow, but this could be overcome by using glides.
Incidentally.................the suppliers of your machine also supply a product which can be used with the machine with only water in the tank as a rinse. KEEP IT SIMPLE
robert m