You can just ignore the DMCA claims, but your service providers cannot, at least not without the risk of assuming legal liability themselves.
Also, cynical as it may sound, I assume the rise of a popular, successful peer-to-peer YouTube alternative would, in the US at least, result in the passage of even more consumer-hostile legislation, think "three strikes"-style anti-torrent laws with actual teeth (e.g., rather than requiring ISPs to make mostly idle threats to cut off Internet service against their own interests, imagine if ISPs were instead empowered to collect fines resulting from default judgements against repeat infringers, with a percentage of each fine collected paid to the ISP).
"Service providers" are in a very unequal situation here, with very different rights and liabilities, if you meant grouping ISPs (net neutrality) and platforms together.
And I don't care about the USA at this point, they made their bed, now let them lie in it, in fact the more they squeeze their fist, the sooner the free world will get the courage to dump them.
Meanwhile if you're still using platforms to host these videos, and not something like PeerTube, you're part of the problem.