Re: two products, I realized this but never really thought about it. Can one self-host an AMP (framework) implementation? Does Google still promote such content, even if it isn't part of their CDN?
No, Google won't give you the special AMP-bolt - nor should they because they can't provide the instant load as they can for other AMP sites that they self-host on their CDN.
After reading this I may just bite the bullet and remove AMP and just cut out a bunch of crap to get it optimized for lower bandwidth devices.