I'm not getting into the whole J.J Abrams question since the only thing of his I've even watched and that I lost the will to continue watching before the end of the second episode, so I'm really not qualified to comment.
However, in answer to the closing question, as far as I can see, no, audiences, fans, humanity, etc. are most definitely NOT afraid of director driven films, of films which are alive, which have significance beyond the broad beats of their plots and/or action sequences. Indeed, films like Avatar, The Avengers, the Lord Of The Rings films, Nolan's Batman films and so on all demonstrate that brilliantly, not only by having raked in so much cash, but having done it at rates or times of year that convention wisdom would pronounce impossible.
The problem is that those audiences don't own Hollywood. They might ultimately pay for it to exist, but they don't own it. The money-men do. And that's fine and dandy, and hey, I don't see any other way to work it that wouldn't be open to horrific abuse.
However, ever since the financial fuck-ups of 2008, those self-same money-men have been terrified of their own shadows, trusting only in the results of their risk-return analyses and modelling programs. In industry that's fine, production rates, profit margins, even product consumption rates are reasonably easy to predict accurately and easily reducable to numbers that those programs can crunch nice and easy.
But film? Hell, more broadly speaking, the entire entertainment industry?
Not so easily quantifiable. Smash hits can come out of nowhere, some films expected to do well become mega-hits, while others bomb spectacularly, and precisely none of it has the slightest bearing on how much money was spent on it, or on when it came out or anything. Yeah ok, there are broad rules (like how summer films are expected to rake in the cash while late year films are expected to rake in oscar nominations for example), but even those don't always hold up.
The response that Hollywood seems to have settled on as a result is to force the artistic content into nice safe boxes in the hope that, even if the return on it isn't fantastic, atleast it's DEPENDABLE. It's safe. Even they know that the chances of them hitting monetary home runs like The Avengers in such cases are limited at best, but hey atleast they're also likely to make something, and due to the parlous state of the world economy, the people in charge rarely have the testicular fortitiude to greenlight anything that's particularly risky, atleast not on that sort of AAA level.
Note that I'm talking about money here solely. Yeah, that's because these aren't ascended directors/writers/actors/composers/animators we're talking about. We're talking about financiers and producers who only got into the business for the money (the other sort being too busy actually producing films to run these sorts of massive corporations). As a result, if the art suffers for their bottom line, all to the good.