There is a very easy test to check if anti-prostitution laws are prudes or about labor rights. You rewrite them into labor rights so to make prostitution illegal without including the word sex.

I have not heard a single country that have managed to do this. For rather obvious reasons, it is not practical to make employment illegal where the employee is in need of money.

There are countries however that do treat the problems with prostitution as a labor rights issue and resolve it similarly. For example when people think of human trafficking they think of prostitution, but human trafficking in constructions is actually several times larger. Exploitation in construction is thus a very large problem and the common solution is to impose stricter regulations so the government can catch and punish those that earn money on human suffering.