>>1002426No.
Copyright is still copyright, regardless of whether the video is archived or not.
There are basically two tiers:
Yes, you can sing our song on stream, but no you can't monetize it. These songs get autodetected by youtube and the archive becomes monetized for the rights holder. Hololive makes these streams unarchived because it's pointless hosting a video that someone else is profitting off of. No free plugs is a fundamental rule of media business.
Yes, you can monetize our songs but we get royalties that are prearranged. These are the songs they can sing in archived karaoke and are largely anisong or music by independent creators and largely facilitated through Cover's connections with aniplex.
If they don't have explicit permissions to stream someone's intellectual property, it's infringement even if they don't save the archive, and there are possible legal ramifications for that on top of just being a bad look considering they rely a lot on good will with rights-holders to get permissions in the first place.