Thanks for letting us know what the manufacturers said. So they do rely on a WP tanking membrane for a wet area. The homelux matting is tanking/waterproof membrane that also just happens to be supplied by TOPPS, so I think you could follow any of the previous advice about tanking products. I think as the manufacturer sell tiles to topps, they are just referring your back to them for another sale.
As I used these tiles before, I think grouting might detract from the overall sleek look they give, as they are uncalibrated and almost butted up to each other. I recall the sharp corners will pretty much rip your sponge to bits anyway, so grouting would be very difficult to clean up.
That said I still agree with Jay about the possibility of mould so as you decided to go ahead with it, then be prepared and try to keep them well maintained. If you do get problems in the future, my advice would be to treat it chemically, and then try some fine grout. Otherwise you'll be looking at removing and replacing them. And as they are slate tiles, I would give them at least 1 coat of sealer before you fix them too.
Good Luck with it, a pic is always nice no matter how long it takes