The Big problem with F-Zero is really there's not that much of a demand for it compared to their other series. Plus it didn't help Nintendo did try to push F-Zero Gamecube & Gameboy Advance era with no actual success. a Gamecube, Arcade, 3 GBA titles, and a anime series and all Nintendo really got out of that was declining sales and a meme if that.
Plus it doesn't help that the series main character is seen as a Smash character first and a F-Zero character second or at all.
See it from Nintendo's view and not your own, F-Zero is NOT a popular/well known series, it's a well known fact the series sales were getting lower, and lower upon each release to the point the last game was Japan only. And there is really far less demand for a new F-Zero meaning an HD game with numerous new features, like Online and Track Editor will NOT break even and Nintendo will lose money rather than make.
So realistically there is no reason for them to make a new one and it's probably the reason why Miyamoto has asked these questions is cause they do want to make a new one however the risk of F-Zero costing more to make than it's possible profit is keeping them from doing so.
If anything It'd be best to expect at the most/hopeful a 3DS game this gen if they do decide to make a new F-Zero rather than a Wii U F-Zero, a moderate expectation would be a downloadable title only to also test out the waters, or in a wild card move, decide they can't go further with the series as is, and decide to revamp it from the ground up and start anew.