What gets lost or missed is the underlying intent of the protocols and tools being used to share content. An http server serves files independent of the client/user-agent–that's how the web works. If a work is published this way then that's the expectation. If YouTube and the RIAA want it to work another way, then use a different protocol/medium and put the content behind a login and limit access.
I'm not saying people should be free then to republish/share copyrighted works. Just that we are free to use tools to retrieve files that have been served openly via the web.