I have seen some results give an “Open In” choice for Netflix, but selecting that simply opens the Netflix app at the “Home” screen. It’s also quite rare. I think I have only encountered ite once or twice.
Most results for movies and shows that are only available in Netflix, come up as “Rent or Buy.”
Shows and movies exclusive to Netflix don’t show up in AppleTV searches.
I also prefer the AppleTV “Details” screen, but even there, when reviewing a certain actor, the displayed “filmography” is really strange; often missing some major roles.
Sometimes, headline actors are missing from a show’s cast, in “Details.”
It seems like legal issues, but it is so random, that I suspect technical reasons.