I'm not missing anything. I just don't believe that by granting those permissions you're making the legal representation that you are licensing third party material. The request is not worded in those terms, even, just as a consent to engage in scraping and subsequent uses of the material. For those materials that you do own, the consent does amount to licensing. For materials you don't own, the consent only covers the activity of scraping; you consenting to the material being used for training simply means nothing. You have attested that you have no objection to that. That doesn't remove the copyright holder's right to have an objection. All those things they are asking for, any visitor can engage in without any permission, and everyone knows it.

Imagine someone asks you: see that guy across the street? Do I have your consent to search his pockets? If you say yes, what does it mean? Precisely nothing.

Suppose you are asked: do I have your consent to search the pockets of everyone in this neighborhood? If you say yes, it still means nothing with regard to the guy across the street, who has not given any constent, but you've consented to your pockets being searched.

>Imagine someone asks you: see that guy across the street? Do I have your consent to search his pockets? If you say yes, what does it mean? Precisely nothing.

I think if you have some kind of authority over the place where this happens and/or if you facilitate an illegal action then you could be breaking the law.