Musing for a moment. What if they legalized and taxed it to fund social programs? Would the supply of sex workers decline enough to move the price to the point

Musing for a moment. What if they legalized and taxed it to fund social programs? Would the supply of sex workers decline enough to move the price to the point that a lot of market participants (Johns) would meaningful reduce their demand? (If so that sounds like a ton of harm reduction IMO)