Theoretically you could of course host your own AMP server, but of course if you're going to have your, say, mobile subdomain you can just as easily make things fast by just sticking to plain old HTML and simple CSS. In reality what happens is that companies trade control for speed on mobile.
I'm so scared of relying on one company for everything.
I personally run my own mail server and use Mail to move all messages to Google Inbox, so that I can use Google's excellent spam filter and email grouping while still keeping control over my email.
I use both Google Photos and iCloud Photos.
If I had to have Google proxy my website, I would at least give my visitors a CNAME instead of Google's URL, to avoid getting locked in into the technology.
I know a lot of people that would be totally screwed if Google closed their account for some reason: no more email, contacts, photos, etc. etc.
