You do have a lot of ideas already on paper, and the benefit of twelve years' feedback. That said, you've then got to spend just as much time deciding what sort of 'remake' you want to produce. Will it be a carbon copy? Will it have new content? Will it have voices (some fans object to this, after all)? Should the mechanics be altered? You've now the added burden of fan expectations. This is far more problematic than a lack of creative freedom - FFVII-2 would be an expensive project, and be marketed at a smaller number of gamers than an entirely new FF game. Their acceptance is vital - alienate the fans by changing too mcy, and you could lose a lot of money. Stick too close to the original, and few people will be motivated to buy something they already have - which could be just as expensive. Not a great position for SE to be in.
This is what I've been saying for a long time
Square is really stuck between Scylla and Charybdis with a remake. Fans are sharply divided over what they want, so there's no way to please everyone. There's no way that they can please all the old fans and bring in lots of new ones. In fact, there's no way to please all of the old ones either.
Square would have to choose between keeping one set of fans happy by either going for the "carbon copy" remake or an overhaul for the 2010s, thus losing the support of the other set, or going for a compromise that is more likely to please no-one than to please everyone.
Personally, I'd like them to make a carbon copy with no voices (or at least an option to turn voices off), the same battle mechanics, chibi characters, general graphical improvements that are more akin to tweaking the original than completely redoing it, and absolutely no changes to the storyline of characters. A better translation and a few extra minigames and sidequests might be acceptable, but nothing else. Of course, if they did this, they'd be shouted down by the (unfortunately large) proportion of fans who got into the franchise with CC or AC and might expect something quite different, as well as the critics who would bitch about them not innovating.
Square must also be aware that the Compilation has had a very mixed reception, and a very poor reception from many of the older fans who have objected to all the emo crap, Matrix-style fighting and lack of colour*. The idea of remaking the game must be terrifying for the people at Square who haven't completely sold out, and a little nerve-wracking even for those who have.
*Srsly, if you watched Advent Children on two TVs at the same time, one colour, the other black and white, you wouldn't be able to tell which was which until Reno came on screen for the first time with his (washed-out looking) red hair.