One thing I considered...
Would any doctor allow such a procedure to be filmed? AFAIK, they don’t even allow you to film the birth of your own child for legal reasons. I seriosuly doubt a more complicated procedure (abortion) would be recorded.
The fault to my argument is that any “doctor” that would do an abortion is already a low-life POS and probably has no clue that being filmed while killing a child not good for his malpractice insurance. Assuming the POS even carries any.
We filmed our two kids births (NOT from the doctors point of view of course) but that was 20 years ago, not sure about these days.