Yup, if I were in the dating market I would definitely favor a government system. Not only do I trust the government more with data privacy (not that they are good, it's just they are way beyond private enterprise), but they have the data to weed out most of the junk. There wouldn't be a bunch of bots, there wouldn't be a bunch of sex workers who just create a new profile when the old one is banned etc.

(And I would like to see government job boards, also, for basically the same reasons.)