Yes, running the tape from end to end at high speed will reduce print-thru somewhat, according to 3M. Not exactly a cure, but every little bit helps.
Doug
This is called "print through" where the signal on one layer of a=20 tape impresses itself onto adjacent layers of the tape. In rare=20 instances, you can hear things repeat more than once.
The time difference between the original and the image is once around the reel.
Sometimes this can be cured by winding the tape through and letting=20 it sit for a few days.