I think the main point here from an analytics perspective is that, even if you don't choose to use Google Analytics or opt for any other service from Google, if

I think the main point here from an analytics perspective is that, even if you don't choose to use Google Analytics or opt for any other service from Google, if you implement the (allegedly non-Google) AMP specification, Google gets to analyse your users while they browse your content, even after they've clicked away from the Google results page and are—for all intents and purposes—browsing a non-Google property. This is in contravention of both user and publisher expectations, and is non-optional for both parties.