The inner and outer band of rust/corrosion, shown in the photo, is not what you want to see. Especially prior to installing new pads. It looks like the friction material of the old pads is only contacting about 60% of the rotor surface. Could be normal, but doesn't look "right", to me. The corrosion bands are raised relative to the shiny friction surface. The new pads will partially ride on the rough, raised portion as the friction material is bigger, dimensionally, than the worn friction material you're replacing. This could chip/crack/damage your brand new pads. You could try and "knock down" the raised corroded bands with a file or sanding disc. But, it's a PITA and takes a long time. Wear a respirator/dust mask if you attempt this. Also, keep in mind, the inner surface of the rotor looks exactly like the outer.
Your choice of course. I would strongly recommend NOT putting new pads on those rotors as they appear in the photo.