Have you watched the show? It's "public", but it's so huge that the guest concentration closer to rural town than disney world.
It's a cute idea but that would be stupidly expensive. It would be difficult to compete with the nearby hotel that includes 10 robo-whores complementary with each night at 1/100th of the price; or a giga-chad sex machine that you can just purchase for home use. For sex, or, actually, just as a worker to do real labor because that's a hugely valuable task to society rather than playing pretend saloon whore for a few billionaires.
[Spoiler]
They did mention that the real money maker for the park was information collection, not the admission fees.
>Arnold organizes a demonstration of the hosts to convince Logan to invest in Westworld. Logan's father, James Delos, is critical of his son's actions until William persuades him that the park can be used to spy on the guests. James proceeds to buy out the park and name William as his successor.