Don't give up and start sanding right away. Recently, I removed two scratches about 7" long from the door of my van. One of them could be felt with a fingernail. Based on what I have read, I figured I was SOL, but if the panel had to be painted, what could I hurt? My PC, a Meguiar's polishing pad, some Meguiar's Scratch-X, followed with some Meguiar's #9 and a polishing pad, and neither scratch is visible now.
Removed or just filled in, I have no idea. Really don't care. It has been over two weeks since I did it, and they are still not visible.
I spent quite a bit of time with the Scratch-X and the PC speed at 5. Probably worked it for 5-10 minutes at a time, wiped it off and did it again. At least 4 times were necessary before I felt like it was enough. I hit the area with #9 a couple of times, applied my AIO, and finished it with UPP. I really have to look to find one 5/8" flaw that remains, and that has to have the right light at the right angle. An hour or so of work might surprise you.
Charles:wavey