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.
But but the real issue is them being exposed to drag queens!