When I'm in "dumb user" mode, especially on mobile, I get very irked when I search for something (on Google, because no matter how much I like DuckDuckGo on principle, the results are just not good enough), tap on a link and find myself on a google.com address AMP. It's an irrational response, but I do feel like I've been swindled/misdirected; on mobile in particular it's annoying because if I want to link the page to someone I don't want the AMP link, and the process of getting the "real" URL is several steps too many. Not to mention the valuable real estate taken by the AMP sandwich button toolbar.
My non-technical significant other and my dad have repeatedly asked me if those pages are safe to visit: after training them for years on the heuristic of mistrusting a page where the URL doesn't match the expectation, AMP is now breaking it for them and causing unnecessary insecurity.