Neural nets for genetics are probably a good fit, and perhaps arguably, a better biological analogy than actual neurons. But they're likely already getting the gist here. They actually say that with genetic analysis (implying more than one gene at a time), they could explain 25% of sexual behavior. To be honest, that's a lot more than I would have expected. In biology, that's a pretty high predictive power, and I think is a way more interesting headline than "no single gene controls sexual orientation".

At the end of the day though, many other factors will contribute, so genetics can only explain so much. With aggressive data collection during development, I would wager we could get sexual orientation prediction much higher. Probably not high on the proverbial bio-ethicist's wishlist of things to make broadly available.