This is an update. The WordPress guy came back to me with answers. It is a dual problem: a HTML validity issue and an invalid tag issue in TinyMCE.
- One way to solve the problem would be to use the “Smart YouTube” plugin. I won’t.
- If I embed the YouTube video in the “HTML” area, and don’t click on “Visual” before publishing, all is fine —the YouTube video will end up in the feed reader. I’ll do that, now.