Plenty of people raise an eyebrow when Sony announces a "another third-person action game", and complain about that being the use of their resources. Ignorant PlayStation detractors have literally made "All Sony games look the same" a meme. Lol.
If you ignore the bitter trolls, I'd argue that's less about Sony making such games and more general decline in Sony's willingness to throw large amounts of money at anything else. As an example, Microsoft are making games like Crackdown, State of Decay, and they Quantum Break was only 2 and a bit years ago. There's no shortage of MS third person titles. But Sony haven't released a non-VR FPS title since Killzone: Shadow Fall. Sony have basically pushed all first person games off to VR and abruptly retired multiple first person series.
FPS games seem to attract a very particular brand of disdain. Microsoft have no FPS games in their current lineup except Halo unless you really stretch and count Sea of Thieves, but the notion of another FPS game from Microsoft makes some people go down this weird "ANOTHER FPS GAME? DON'T YOU KNOW THE FPS GENRE IS 'SATURATED'?" tangent. Some people seem to have a weird problem with first person games and a desire to turn every series into a third person game regardless of whether it suits the game.
Why Banjo Threeie has not yet been put into development is a fucking mystery, and just goes to highlight the evergreen incompetence of Microsoft Studios.
There's zero mystery. Gregg Mayles decides what happens to Banjo. It's his baby, and Rare have control over their own IP. He doesn't want to make another game, and doesn't want another game being made, unless he likes the pitch.
Perfect Dark as a 3rd person action adventure game would work. I do agree about moving it from a FPS and since Halo is the dominate series in that regard.
Your solution to Microsoft's self-induced lack of FPS games is to make even fewer FPS games? Rare wanted to make a third person Perfect Dark spinoff back in the day called Velvet Dark. So it's not unprecedented. But Microsoft have Halo and nothing else. Meanwhile they have Gears of War. Crackdown. State of Decay. They had Quantum Break two years ago. They had PUBG as a timed exclusive for a year, which was primarily a TPS, oh, and they also have Fable which is also third person.
Perfect Dark is nothing like Halo. If Microsoft gained the rights to the Dishonored series, for example, turning Dishonored into a third person series "because Halo" would be silly. We don't know what direction MS are taking Perfect Dark. One hopes that whatever direction they take will be a good one. But Microsoft basing their decisions around Halo and their demented obsession with it is what got them into this mess in the first place. A Perfect Dark game was in development. It mixed Deus Ex and Perfect Dark together. But it died because MS didn't grasp that the kind of people interested in a methodical spy game are not necessarily the same kind of people interested in a game about space marines. Oh, sure there might be some overlap, but there might also be overlap between Age of Empires and Microsoft Flight Simulator. Doesn't mean both shouldn't exist.
Back on the N64, games likes Turok and GoldenEye flourished because they appealed to different audiences. One audience wanted to be a spy. The other audience wanted to blow monster's heads off with a shotgun. The core experiences are completely different.