First you ask how many people would be put off by being filmed and how many prostitutes would still get into cars. Both questions are unanswerable what if's. You can do no more than guess. I can do no more than guess. All I can say is that the legal brothels in Nevada do amazingly well despite the fact that they film their patrons. And girls flock to work in legal brothels.
You say that illegal or not, there are still more risks in prostitution. Not true. No registered prostitute has ever tested positive for HIV. Never.
Fact is, legal, it's not more risky.
Legal brothels are safer than street work for obvious reasons. They require that their girls get constant testing and they require the use of protection at all times. Add to that the fact that they offer a more structured system (patrons can choose the girl out of many in a well lit room, patrons can ask ahead of time for certain services, there's no fear of being beat up by a pimp) and it's no wonder that so many guys decide that being filmed is worth it, especially when confidentiality is promised.