Can you explain exactly the level of scale you're talking about? How many humans do you think would be needed to handle copyright claims?
At $10 an hour that would be $7m a day, $2.5b a year.
Alphabet's revenue is arround $144b a year, so it would cost 2% of revenue to review every single uploaded video. Clearly that's not going to be needed -- you only need to review those which
1) Have a claim by $BIG_CORP
2) Have a counter claim