Well, you are not in an analogous position of authority with regard to some licensed stock images or whatever. You are not the guardian of their copyright, charged with defending them from illegal copying. You were licensed those images knowing that the world-wide public will fetch copies of these images and do whatever they want.

If you signed some agreement whereby you pledge to protect licensed images from AI scraping bots, then signing off on a consent to Meta would breach that agreement.

There is no such agreement. Licensees of images are understood to be broadcasting them to the entire world, including anonymous visitors.