By this, do you mean "reducing the total amount of prostitution occurring" or "making prostitution less visible"?

Your third paragraph implies the former, but I suspect the answer is actually the latter. There is probably less total prostition now, but what's there is more visible.

You talk about "increased crime" in reference to pimp shootouts, but you know prostitution and sex trafficking are crimes too, right? If thousands of women and girls are suffering but you can't see it because it's all organized online, that's not necessarily better.