We are talking about their AMP cache. If you don't use Google Service, except if you like to prepends their amp cache URL before your links, you'll never get there.
Their AMP cache happens only on their search service. They already know which links you click... having an AMP cache on top doesn't give them MORE information than they already get. The use of that cache also make sure the website doesn't get more information because it's preloaded.
If (or when) the share of that privacy-conscious users will rise, Google might motivate webmasters to compile GA scripts in the main JS script, and considering pretty much any website now a days just doesn't show content with no Javascript enabled, it would be much harder to avoid.
I browse mostly without javascript on and that's not true; easily more than half of websites work just fine without it, and that number goes far up if you accept some lack of features. Though there are some that indeed don't work at all.
Although your point is well taken that there could be ways to sneakily track users eventually despite the aforementioned measures, and potentially even without javascript being required (though I doubt that share of privacy-concious users will ever raise significantly - most people simply don't care).
