I spent some time in Singapore. There, having a playboy or penthouse magazine was illegal (this is over 30 years ago now). At the same time, prostitution was 100% legal as long as you did so with a certified hooker. These were the ones that got blood work done periodically to make sure they weren't diseased. Like Amsterdam, it was considered a ligit career path.
When I argued my Puritan upbringing/reasoning, they stated that they have ZERO violent crime. It was illegal to entice or sexually excite (no girly mags as mentioned, but no strip joints either). They stated almost all violent crime was done by men and reasoned it was due to sexual frustration. If there was a way to relieve that frustration, that was a big part in reducing violent crime. Second to that, they used lashes to punish instead of/or with incarceration. Five lashes meant the same if you were poor or a billionaire.
Not having a playboy magazine or strip joints seemed out of alignment if prostitution was rampant. But once I realized how they used it to combat male frustration and violence (not to mention disease control), it makes complete sense if you take religion out of it.