While you can argue that Chrome and AMP serve the same goal, they're approaches are very different. One helps diversify a market place and doesn't lock developers onto its ecosystem nor users into its product via anti competitive practices; while the other seeks to create a "second web" who is controlled by Google by locking companies into their promise of reduced bandwidth and users into their hosts and advertising via leveraging their massive market share in search as an effective sweetener/bribe (use us and be placed before the search results).
You can complain about Chrome all you like but overall have more browsers on the market is better and Chrome doesn't lock people into anything aside brand loyalty. Where as AMP is a very different beast.
this is what gates calles the figth for the web. saving windows. thats why they integrated IE so heavily on explorer. ...again, they did hit very hard in the actual internet ecosystem, but that was a side effect. and they would be silly not to try to take some advantage of that too since they were getting this for "free" while fighting for windows dominance.
How very wrong you are on this one point, your argument was going on the right line but here it took an unexpected turn. Microsoft was the one truly not trying to control the web. The web was a causality for something else (killing java). Now, Google. Google is the one that must control the web. Chrome and android and AMP serve the exactly same goal!