Rwwear...I take your point about rewinding the tape, although I don't see how this would erase any print=through.
However, whichever way the tape is wound the first few seconds of music will be next to the second few seconds, and print-through will be the same. The echo, be it groove distortion or mag tape print through, occurs both before and after, but it only becomes audible before the begining of the music because there is no sound to mask it.