I think you're precisely correct, and I can't emphasize this point enough.
People talk about their various breaking points with Google, and several threads on the recent Google Reader shutdown 10-year anniversary post discusses these. For me, the turning point was Gmail.
BG, Before Gmail, Google Web Search (GWS) was a utility you used without identifying who you were. Yes, there were IP tracking and cookies, but those were reasonably loose fits.
AG, After Gmail, GWS for many people was something that was fully personalised. Not only were your searches associated with your email address, but often with a Real Names identity. This seemed a dark turn for me, and I resisted getting a Gmail address for years on account of that.
(I've since acquired ... several, though I use them exceedingly infrequently now, and have cleared out most associated information.)
But even in the AG era, you could use GWS without authenticating. Or through proxies such as StartPage. Around 2013 I'd switched to DuckDuckGo (DDG), which is (mostly) a Bing proxy, based on its privacy assurances.
I'm now wondering what impacts Microsoft's Sydney / GPT-Bing transition will have for DDG moving forward. And what opportunities for anonymous and/or pseudonymous use of GPT / AI chatbot (is there a more graceful term for these yet?) might be.
I was an extreme early adopter of Google. I've yet to use ChatGPT or similar tools given that they all appear to require authentication.
That's not the future I'd been working for.
Yonatan Zunger, an ex-Googler who was chief architect of that company's social and identity platform, Google+, recently landed at Microsoft as "corporate vice president and chief technology officer of identity and network access".
<https://www.crn.com/news/cloud/microsoft-recruits-top-twitte...>
He's made cogent observations on forced disclosure in the past. I'm hoping he'd be highly sensitive to the concerns you and I are raising here. (I've contacted him concerning your comment.)