In episode 280 of Semantic Mastery's weekly Hump Day Hangouts, one viewer asked if YouTube counts a view if someone is watching an embedded video on a website.
The exact question was:
Hello SuperStars! I want to embed a video from my Youtube channel on my website. Does every time someone watching the video on my site, Youtube count it as a view? Even if I set it to autoplay inside my website? And if you can please share a few tips about the website embed in general. Thanks a lot!