This makes sense....in theory. However, we now have enough data to conclude that things don't work like that in practice based on the experience of European countries that have legalized prostitution. If you look at European countries where prostitution is legal (i.e. mostly Western and Northern Europe), they are no exactly pvssy heavens. Spain, Italy, Germany, UK, etc. are not known for submissive, "less picky" women.
There is a big difference between legalizing and normalizing prostitution. Even in countries where prostitution is legal, it is seen as a socially harmful activity that is tolerated only because banning it would cause even more harm. I am not aware of any country trying to normalize prostitution as an acceptable lifestyle choice. Without normalization, prostitution will continue to be a fringe activity that does not have a significant impact on the dating lives of average people.