I just think that there are many professions where you might need protecting from Joe Public being violent so I didn't sense that anyone was trying to create a separation, more just focusing on the problem in question
Yes but the police, ambulance service, fire service,social workers, animal cruelty inspectors, NHS A&E, even lawyers acting for accused persond are there fundamentally to serve society and to try to make the circumstances of those they are dealing with in particular better and in general to try to make the world a better place for us all to live.
Some of these people individually might be personally hopeless or even corrupt but that is irrelevant to their raison d'etre. They have a purpose. On the whole many things would be somewhere between bloody awful to intolerable if they didn't do their job.
Who does prostitution serve? Would the world be a worse place it ceased to be a thing?
I don't see what is so problematic about imagining a world where prostitution didn't exist.