Interesting question. I don’t know of any examples of genre adaptations where they redo them after there’s been a big budget one, the only thing I can think of is cases like LotR, where there was the animated movies and then the big live-action movies. We’ve seen lots of cases of people trying to followup big successes with imitators or spinoffs, but not literal remakes.
Unless there’s a larger trend of remakes being really successful, I doubt you’re going to see a live action remake. Too much of a budgetary risk for too little of a potential payoff.
What you could maybe see is an animated series – that would be different enough from the show where you could pitch it as it’s own thing, animation would allow you to do things from the books that the show couldn’t do, production costs would be lower, etc.