The Chrome experiment in question ended before AMP was even a thought, and AMP and Chrome are separate teams inside Google. I doubt they're even mildly related.
Different teams inside a business can have coordinated long-term goals.
Regardless, their master plan[1] clearly shows "Redesign HTTP", "Browser", and "Next generation web (Fish Pod)" as precursors that lead to "Private Internet", "Walled Garden", "need more cache", and "NEWSBANK".
Well, that explains why they wanted Chrome to hide URLs[1].
[1] https://news.ycombinator.com/item?id=7693995