Regarding the website: having a video embedded with zero control to mute or change it's audio volume is really insensitive UX. The annoying background music is not even necessary to actually get meaning from the video.
I'm also blessed with a computer that has a "mute" button if I didn't want to hear it.
You assume that the web page is the only source of audio happening on a device. If someone is listening to something on their machine while browsing articles and then needs to stop whatever is playing because the website is taking over the audio, that's very poor UX and is indeed insensitive to the user.
Suppose you have a screen reader and now you cannot hear it because a video is unnecessarily blaring music that you can't hide. 99.99% of all websites offer the user individual audio control over playing content -- for a reason.
People with screen readers usually have an accessibility issue, so you are advocating to ignore the visually impaired, for example.