Sounds like you don't quite understand how the AMP cache works. Any link source can host an AMP cache—the cache is distributed with each link source choosing which cache (if any) to use. As a website owner, you have no control over which AMP cache is used, or which host tracks your visitors.
For Google Search (probably the primary link source on at least the anglophone web), Google hosts your content and tracks your visitors.
For Google Search (probably the primary link source on at least the anglophone web), Google hosts your content and tracks your visitors.