[usrusr]

You assume that she would request the video taken down. But she might have realized that from her perspective, the damage is already done and she would gain nothing from the video being taken down. And would very much prefer him to get his share of unwanted attention as well (e.g. making it all the way to the hn frontpage)

[Closi]

It's probably a pretty safe assumption that she would be comfortable with it being removed, considering her feedback.

Particularly considering his current caption for the video remains "A beautiful gesture - little big moments".

[idrios]

I'm also guessing if she had made that request after it had already gotten millions of views, he'd have then made another video "why I took down my last video" or something to that effect, and disrespected her more. I certainly wouldn't risk Streisand effecting myself.