Not really, if they still just want to send in a normal URL, the auto-embed is the only way to do it.
The point I was trying to make with the earlier reply is that while it can be embedded via shortcode, it still won’t get what you’re after, as the video embed will take the full width regardless. It’s just better (in my opinion) and easier overall in this case to do the following, because that is essentially what you’ll get no matter what, since the video will take the full width by default regardless and just push the following text down to the next line.