You're a genius. Covering up some of the pins with tape stopped that repeating distortion, but it introduced some new artifacts. There are "sparkly" dots here and there throughout the picture and what look like wide scan lines on the right side.
Unfortunately the stationary vertical and horizontal lines are still present, so my guess is that those are there to stay, even if I could tweak the tape to eliminate the artifacts. If you think otherwise, I'll try again.
It's definitely watchable now, and I learned something, so thanks for the help!