On the other hand..... it also sounds like a loose wire or metalic part... does it get any worse when you move or knock on the vcr, or any parts connected ?
btw. I see this vcr has a Three-prong power cord ...(this is just a wild guess.....) the earth wire is used before and after the "failure" ? (earth loop comes also in mind) does your house mains have a earth leakage circuit breaker ?
it could be EMI caused by the outage,
I guess even plastics rubbing against each other could generate EMI
Does other HiFi sound equipment have the same "noise" ? (earth loop)
Can you try another audio input on the vcr ? this interference is not visible in the video ?
Any Plasma tv screen nearby ?