This'll be controversial, but after Zelda U, I'd be down with Aonuma making a Star Fox game. Like, an off rails, open solar system one.
It is controversial, because you want Star Zelda.
...Seriously though, I doubt Aonuma would be a good fit here. His Zelda games are rather slow-paced usually (edit: in fact they've become more and more slow-paced with each entry, and it looks like it's continuing on in Zelda Wii U), and slow-paced gameplay simply doesn't go well with Star Fox. Even if we're ditching the traditional formula in favor of a more open, expansive space game, it still has to be action packed all the way.
No, I want Star Fox to evolve, like every other franchise did in that era outside of Star Fox. You know my desires for Star Fox. That's nothing like Zelda. Also, I do need to reiterate that I don't want this kind of game to replace arcade Star Fox, the same way I don't want top-down Zelda replaced by 3D Zelda or sidescrolling Metroid to be replaced by Prime/a 3rd person Metroid. All I want is an evolution of the concept too. Also. As well. On top of.
I don't think it nessecarily does. Like, obviously it needs to have fast paced action, but there's no reason it couldn't slow down through space exploration as well. I brought up Aonuma for Star Fox because his formula for Wind Waker in terms of gameplay would lend itself extremely well to a space exploration-type Star Fox game. The world (universe?) and chacters of Star Fox lend themselves so well to an epic, expansive adventure like with Star Wars. The tone and soundtrack found in Star Fox Assault, for example, lent themselves nicely to the epic space adventure feel they were going for.
Space travel would be much like sailing the oceans in that game. Instead of sailing from island to island, you'd be flying from planet/space colony to planet/space colony. Instead of submarines, lookout towers, and giant octos, there would be asteroid belts, space bases, and enemy fleets to encounter throughout space. There could be moments where you have to protect the Great Fox from enemy fleets. Once ariving on a planet, the combat would be TPS controls, much like Battlefront III or something, and you could explore these giant alien worlds. It would be like being on the planets of Destiny, only you can fly at any time throughout the map like in BF3. Tie it up with a plot with the quality, talent, and drama remeniscent of the Clone Wars show, and Star Fox instantly becomes an epic. And that's only single player.
There's so much they, especially Aonuma, could to with Star Fox to make it such an epic experience that just can't be done through an on rails shooter. Like Emily said, the future of Star Fox is off-rails.