I know at least on the TBC/DNR on the JVC decks (and for that matter other vcrs) can struggle on very bad tapes like this and cause more distortion than they help for, so for this sort of tape I find it better to use a panasonic dvd-recorder for stabilization, and a deck with ...
After successfully playing a video, I try to rewind, which doesn't seem to complete, and I can't eject the cassette. Even the power switch just toggles between two modes, but not 'on' and 'off', then when I press and hold 'eject', there is some rewinding sound for a few seconds...