I think that’s the point. It doesn’t stop the occasional chancer from trying, but no this side of the pond at least you’ll get short shrift if you do.

The whole thing is about limiting liability to the company. (In the pregnancy case I think there’s an increased risk of thrombosis at late-stage.) Their policy says no paperwork is required, you say that applies to you; if something goes wrong after you lie then the onus is on you.