Perhaps there are women - and men - who go into sex work solely because they enjoy it.
However, I think the opinion of most people who have actually worked with prostitutes is that it is only a truly "free choice" in a small number of cases. Even then, I believe it is acknowledged that children who have been sexually abused are more likely to form distorted and damaging sexual relationships in later years. I believe one indicator of a child having been sexually abused is the presence of over-sexualised behaviour and an inability to trust and form loving relationships.
Many sex workers, male and female, have had disturbed childhoods, perhaps including sexual and/or physical abuse. Additionally, it is well known that prostitution is often the only means of getting enough money to fund addiction.
On the Keeler/Profumo issue, Christine Keeler was only 19 years old and was from a very different background from John Profumo who attended Harrow and Oxford and was a member of the Bullingdon Club. He had an important political position and must have been around 40 years of age when he started a sexual relationship with Keeler. Who should have known better - she or an experienced man twice her age?