You know, I read your post, and I immediately thought there would be a big administrative burden on top of the wholesale lab costs.
The point made on that website, and I find it very convincing, is that it is a matter of prioritisation for the jurisdiction, and those jurisdictions such as New York that have made testing a priority have seen a tangible impact in arrests of offenders.
I mean, you want your law enforcement budget spent on getting rapists in jail, right?