In reply to Peter.

Disclosure: I work on this plugin.

Hi Peter,
Good question about whether there's a benefit to AMP.

The biggest benefit of AMP is usually performance. There's a bigger performance improvement when using an AMP cache, like in Google Search or Cloudflare. But load times are still usually faster when loading AMP URLs on their own.

I’ve noticed that social sharing buttons and menuing systems have lost functionality on many AMP pages I’ve visited.
Some AMP pages use simple templates, and don't have menus. The idea of this plugin is to use your own theme, so your menus look the same. For example, here's Twenty Seventeen with AMP:
https://2017-theme.amp-wp.org/

There can still be challenges, as JavaScript isn't allowed in AMP.

That's interesting that the sharing buttons haven't worked the same in AMP. I haven't seen that, but I take you at your word, and would be happy to look at an example or help if your site has that problem in the future.