I try to stay away from "always" and "never" for obvious reasons since so many variables are usually in play.
From a cost-standpoint, analog tuners are practically free (read very very inexpensive) so removing it from a design doesn't save money in any significant way... so no real incentive to take it away.
That said... Dish took analog tuners out of their newer HD receivers, and went for digital tuners only... so I'll never say "never" again

I can see a future where TV manufacturers just opt to forego the analog tuner without any particular reason than they just flipped a coin and decided.
Except for the oldest of VCRs, there are alternatives (S-video or component) for connecting beyond needing an analog tuner... same goes for standard DVD players and other devices designed to connect to a TV.
Aside from home-distribution, there will soon be little need for analog tuners... so IF they are removed at some point in the future, probably not much screaming will happen from consumers.