OK , tracking fuzz....
Just thinking out loud here but...
Create a single graphic in your favourite image editor that is way way bigger than your video project dimensions. Make the image a sort of diagonal gradient that repeats.
Drop it on your timeline, keyframe it's position over time so it rolls up the screen at an angle. Apply keyframed blurs, brightness and contrast to it (maybe even with some gradient masking). Use an old style movie filter to add lots of grain and you should be away.
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