They are lying. I have recently verified my age on YouTube with a credit card, and they've created a payments profile without my consent. I have discovered what happened a couple of weeks later when I've signed up for Google Cloud and my payment data was already listed in the form of a payments profile that could be selected.

I'll guess that they will be using an automated system, i.e. no human eyes involved. Which isn't that much better, I guess.

I'd say it's best to photoshop the info/photo, because "deleting" the photo doesn't mean they won't scrape it first.