My view is that if the rotor is “out of spec”, you need to consider changing it. For the OP, it would appear that the pads may not have been bedded properly, so there’s some uneven pad material transfer - which should not be a problem after a while, once the car is stopped from high enough speed.
I am not a fan and generally speaking, neither are the manufacturers, of turning the rotors. These are consumable, and they don’t cost all that much - so need to be discarded if warped or - again - out of spec. That, however, is at times difficult to establish. For instance, my interactions with Wilwood pretty much went nowhere when I asked them if the rotors are OK when the extremely shallow slots are gone. They won’t commit to a thickness, and keep feeding me the same script that I should be the one who determines if the car is “safe to drive”.
So, I replace the rotors annually, along with the pads (in the front). The rear rotors have endured more that 60k miles. The fronts only last for about 22k.
CORRECTION: I only get about 8-9 months or 16k miles from my WW Gt37 rotors/XP8 pads combo.