My fear is that pressing "no" on stuff like that is going to become an auto-rejection in the vast majority of cases
It's probably not going to be an auto-rejection, it's just going to sit in a queue that looks like this
Screened Applications [13]
Unscreened Applications [39148]
It won't be rejected. Your resume will be meticulously placed into a human review queue pending the allocation of someone to look at the contents. Meanwhile the position will be filled, and so serving no purpose the review queue will be emptied.