Just freaking open blockchair website and type any random bitcoin address, you will literally have confirmation for my words.
Ah yeah, you're correct, sorry. I had only checked transactions and blocks at Blockchair, never addresses

Now okay, one could argue that if they respect their own Privacy Policy, they display third-party "risk scores" as a service to the user, without transmitting visitor information (IP adress, browser fingerprint etc.) to these third parties. But that's where the "vague points" in the Privacy notice I mentioned
here -- that they only use personal data to improve their services -- could be a loophole to indeed transmit this information in real-time to the risk score analyzing companies, because their risk scores "improve" the service of Blockchair.
Even if they don't do that, at least it is a big temptation for the users to click on these risk score ads, which open the chain analysis companies' websites -- and I think if you do that with your own addresses, then that's the moment they'll have the visitor information they wanted.
I can totally understand your discomfort and that would be also a reason to not recommend Blockchair.