I upgraded to wave rotors on my Thruxton R last spring. I found they were not the same thickness as the OEM and had to add a spacer to the speed ring pickup for the ABS. Otherwise it was a straight swap.
Yeah I put Brembo rotors (78B40873) and pads (07SU14SA) on front wheel (cheaper than Triumph ones!), but Touring wheel is different so not sure what options you have.
EBC is another aftermarket option, but I didn't like the bronze colour and they are thinner rotors (4.55mm) than the Brembo (5.08mm). Both have 0.5mm wear limit.