Q:

Can we get Youtube support turned on? 

I think getting proper Youtube support would help a lot when explaining how to perform certain things.  Like:

the proper squatting technique,
how to perform a cartwheel with no hands,
how to run properly,
small stretching exercises,
how to maintain balance with yoga. 

Well basically the list goes on!  So can we also be blessed and get this feature turned on? 

A:

This isn't meant to be a "yes" or "no" answer, only a concern. 
My fear about videos as answers is that videos are not index-able.  When a video becomes a substitute for a well-written answer, that answer no longer provides a point of entry for people searching for that information.  Every visual cue that supplants an equivalent piece of text is that much less content that can be searched on the site. 
Videos are, essentially, a black box to the Internet — they break many of the major mechanisms that make the Internet work.  It's a growing problem that will have to be solved someday but we're not there, yet.  There's simply no way to visualize and find "where's that exercise where I saw that guy do that thing with his leg?" 
Text is the primary means of communicating what we have here to the outside world.  For every answer that is done "in video," that information becomes obscured behind a black curtain; One less opportunity for people to find the text that describes the solution. 

A:

I don't want to add videos to the site. 
I read at about 300 words per minute [WPM], and skim much faster than that.   Videos run closer to 100-150 WPM.   It's been said that a picture is worth a thousand words, but a video doesn't multiply that by the number of frames.   Diagrams/pictures and supporting text will be more searchable and faster to view/evaluate.  
Additionally, I don't have the ability to listen to a video in many contexts.   Other times (on reduced bandwidth/capped connections, mobile devices, etc.)  I can't view the video at all. 
Of course, there's nothing wrong with supporting an answer with a video.   However, the answer must be able to stand on its own without the video. 

A:

I know I'm coming in a bit late, but I support embedding of videos.  Yes, it's possible that people will just post videos with no explanation, but that's what the downvote arrow is for, just as with link-only answers.