War on abuse free outlets

Sometimes I don't get antis.

I agree that, at least in a society that reacts with horror and disgust when they learn about any adult-child relationship, a romantic or sexual relationship with a child should be out of the question.
But we exist, we didn't choose to think little girls are the cutest, sexiest things on earth. So why do they keep attacking non-abusive outlets for (some of) our sexual frustrations?
Right now the focus seems to be on sex dolls. Aliexpress has started removing all listings for flat chested dolls and twitter recently banned a well known Chinese producer (are we allowed to use company names? or has this subject been driven too far into the grey area of the law that we're not allowed to discuss it anymore?) for posting pictures of clothed dolls.

I haven't been able to find any research supporting the claim that “Once an abuser tires of practicing on a doll, it’s a small step to move on to a child.” -- NY Rep. Dan Donovan
But then again, attacking even non-offending MAPs is an easy way for politicians to score some points with their constituents...