Youtube doesn't have a "EULA" they have a "TOS", and if the uploaded content is legal and doesn't infringe on copyright it stays up.
Any allegations to the contrary would require proof on your part.
Any allegations to the contrary would require proof on your part.
Even if they haven't removed uncontested legally uploaded content before, the Terms seem to say that they can, and this might constitute the first time they'd want to. (See x0x0's sibling comment for cases where they've removed contested legally uploaded content, but I think you're probably talking about uncontested videos, right?)
(Incidentally, the EULA/TOS distinction feels really pedantic to me. The name isn't the issue here; we're concerned about the content of the agreement.)
oh, and given their well documented behavior with regards to handing large rights holders the ability to take down videos because of music without issuing DMCAs and with no review from youtube, not hard to believe [1] [2]. (See how I made a claim and I substantiated it?)
[1] https://www.eff.org/issues/intellectual-property/guide-to-yo...
[2] http://gizmodo.com/5932089/nasas-official-rover-landing-vide...
Sibling comments have pointed out the problem with this statement, but I'm bored, so here's my proof:
There's no legal porn on YouTube. What porn makes it past the automated filters in place to prevent its upload is summarily removed.