Need advice cylinder scratches

I had a friend that had a sbc that was over heated during breakin and the rings bottomed out and made marks in the cyl walls, they looked deep but you could barely feel them with your finger nail. I told him to rehone it and replace the rings and basically look it over good, the heads were already off for a head gasket leaking coolant, he said he wanted it running and he would pull it down next winter. He is still running it with no problems. The damage is done so run it and fix it next winter if it burns oil or if you get lucky it might just be fine.