There are already countries where prostitution is legal including the Netherlands, the UK and the US state of Nevada. (Not a complete list, just the first three I thought of off the top of my head.) None of them require people to prostitute themselves rather than accessing public benefits.
Likewise, there are countries, including the USA where it’s legal to pay people for donating human eggs, and probably other body parts. So far as I know, no state in the US requires women to attempt that before accessing welfare, and the US welfare system is less generous than European ones.
Empirically, your concern seems not to have any basis in fact.
There are already countries where prostitution is legal including the Netherlands, the UK and the US state of Nevada. (Not a complete list, just the first three I thought of off the top of my head.) None of them require people to prostitute themselves rather than accessing public benefits.
Likewise, there are countries, including the USA where it’s legal to pay people for donating human eggs, and probably other body parts. So far as I know, no state in the US requires women to attempt that before accessing welfare, and the US welfare system is less generous than European ones.
Empirically, your concern seems not to have any basis in fact.