The newest models already know whether you’re a bot or not before the checkbox loads. A massive majority of the internet goes through Cloudflare so by the time you land on a site you already have what Cloudflare dubs a Bot Score based on your behavior across the web.
Checking the box really just confirms what they already know. There’s a second form which I’m sure is even more prevalent than the checkbox that renders nothing, requires no user action, but can prevent form submission if you fail the check.
I change my answer – being British will always be cringe to me.