I recently did something similar on my Mazda 3, except that the rotors were not grooved, but glazed along with pads. Braking was smooth, but with increased pedal effort. I had a second set of pads, that were used previously, but they made a slight clicking sound on initial application, so I changed them, but decided to keep them as they were virtually brand new. They seemed like a perfect fit for this situation.
I used 80 grit sandpaper on a piece of wood (sorry, but 600 grit is for wet sanding paint, not scoring metal). And you want to use a course sandpaper to put fairly deep scores onto the rotor. That's what will make the new pads lay down new pad material.
The brakes feel like new again and the seemingly deep scores or scratches laid down by the 80 grit sandpaper were gone within 500 miles or so.
I think people are forgetting that these are not some fragile components that are operated on a razor thin safety margin. Rotors are far from fragile and are ground down every single time the brakes are applied. So if they are not beyond the minimum thickness, they can be re-used.
A small groove, by the very design criteria of the braking system, should not impact the braking performance in any significant way. Cheap pads, or the super expensive types design for track use that are popular with the fast’n’furious crowd, on the other hand, are far more dangerous than a re-used or slightly grooved rotor.