Sorry, you're just wrong here. If I publish a video online, it is a copyright violation for you to redistribute it without my permission. I don't need to put a license or even a copyright marking.
The point i feel you're missing is that if I'm making my work available for redistribution I must attach a license to it, that license -- for a limited example -- doesn't have to include no public performance (a common license term for movies, play manuscript, music) you can allow it and retain your copyright in full.
The context is you providing a video for me to redistribute. You don't have to, say, give me geographic limits.
I think you are completely misunderstanding each other. pbhjpbhj is not saying what you imply and merely pointed out that "downloading copyrighted material" is a misleading phrase since all non-public-domain material is copyrighted. The fact that it's under copyright isn't important, what's important is if it is under a license that allows copying or not.
"Big Buck Bunny" out whatever is copyright but the free and open license allows you to download it and consume it.
Seems pedantic but IMO it's an important point.
Copyright is automatic, restrictive licensing isn't.