Google are lying
I can prove Google are lying, when I need to log in to a site using recaptcha, but also when I use two different accounts to do so.
One is a personal account, I have a dedicated email address for it used only there, not used for anything but this one site. As a general standard, I delete cookies from all sites I visit after I leave (I have about 6 sites that I allow primary domain cookies, but block all third party) . I have blocked all Google domain and advertising sites for years and if a site uses resources from a Google domain like fonts or scripts and it doesn't work with the blocks in place, I go else where. I do not use any Google services, except my Android phone does have an account that's not used anywhere else and that doesn't work too well as it likes to continually nag me, as though there is a virus running, "App permission management is running" and I have blocked as much as I can there too.
The second account is a work colleague's address. Although he occasionally does add blocking, he does little else and remains logged in to many sites/services.
When I use the target site, I have to allow Google.com and gstatic.com (used to be recaptcha.net and gstatic,com, I wonder why that changed?). I login, order some parts I need, log out, delete cookies and re-block the two domains and the main site I just used. I do this whether I use my account or my colleagues, there is NO data on my machine to show if I have visited before and that I passed the recaptcha.
When I login as me, I need to select the images to prove I'm not a bot, when I use my colleague's account, all I need to do is check the box. This is from the same Linux PC, both accounts, I don't use my colleagues machine to login.
How do they know it's a human when I use my colleague's email, but not when I use my mainly Google protected email, I have to be tested? Where are they getting the data from to decide my colleague with lots of Google data is human, but my low profile account needs a bot test?
The simplest explanation is that as on other occasions, Google are lying, they are using their trove of personal data and making the experience of non Googled people worse. I'd give this as evidence in a legal hearing.