I have Tektro HD-R310 brakes, with center lock rims, using the new and only center lock rotors from Tektro TR160-35

Well after 2 months of driving in winter, i already notice some rust on the rotors (and i do clean my bike often)

That never happend on my other bike which i rarely clean with shimano slx + rotors.

So my question would be, can i use better quality shimano rotors with my tektro brake? Only problem i can think of would be the pads type (resin), which needs to be compatible. I'm still on the original pads but will switch to "SwissStop Disc34 RS" after they are worn out.