A person who was maximally distrustful of Google would assume they link your phone and your IP through the connection used to receive push notifications, and th

A person who was maximally distrustful of Google would assume they link your phone and your IP through the connection used to receive push notifications, and the wifi-network-visibility-to-location API, and the software update checker, and the DNS over HTTPS, and suchlike. As a US company, they could even be forced to do this in secret against their will, and lie about it. Of course as Google doesn't claim they do this, many people would consider it unreasonably fearful/cynical.