Google maps for iPhone is incredibly confusing when it uses "custom chrome tabs". Unlike almost every app that hands off to a browser application. When in a "custom chrome tab", I want to go back maps, so I hit the home button. Because that's how you switch apps, but wait, where is maps? Oh I'm in maps. I don't see how this could user test well when it's an anti pattern to the device itself.
Did the team think eliminating a banner or frame that wraps enclosing content was not MVP material? I'm glad Google has now made this available, but I was shocked - and unhappy - when I first realized AMP did not originally have it.
Since I do not stay up to date with the latest from Google all the time, and didn't even know AMP was a thing until I encountered it in a production google search one day, I had no chance to offer feedback. I imagine many iOS developers, who must be focused on native app things rather than Web-based things, would be in a similar boat; we would be happy to provide feedback, but I don't know how I would have even been asked for feedback, let alone have discovered that something like this was coming so I could proactively make a comment.
I hate it for custom tabs too. But what I really hate is the way AMP hijacks scrolling and page navigation. It totally breaks the feature of Android Chrome that allows you to quickly search a selected word by swiping up from the bottom. Have you tested the interaction of AMP with that prominent Chrome feature? It's symptomatic of the way AMP breaks web assumptions.