For a captcha to function properly, they already need to have this data I guess.
There are times they could give you that button but already knowing you are human they use you to train their AI.
I wouldn't be surprised if they also score you against how well you train AI, and give better trainers more captchas.
Google has so much data, any time you think "I wish we could do X, but we'd never get enough data", it's an opportunity that Google can move on but the rest of the world can't. That's another argument for breaking up monopolies.
Wouldn't this mean that it would be an opportunity that /nobody/ could move on?