They've not even using Kickstarter. The money goes directly to them (and unlike Kickstarter, they get the money no matter what). They do say this, but you'd have to take their word for it:
Our financial goal is a flexible one. All contributions will go directly towards the development of this game and making it a reality. We are committed to making this game, however, if it becomes apparent that we cannot raise enough to develop this project then we will refund all pledges.
Eternal Darkness was great (and I actually liked Too Human, even though not many did), but I'm not optimistic about this.
Anyway, it's not that they're ditching the Silicon Knights name. Silicon Knights still (barely) exists. Denis Dyack just doesn't work there any longer. As I understand it, Precursor hired Dyack to work on this, and they purchased assets from Silicon Knights for it.
I've also read that Nintendo has a patent on the sanity stuff from ED, though I would think that wouldn't be too difficult to work around.
Edit: Then again, it sounds like there might be something shady (because of the Epic countersuit, maybe?) with the SK / Precursor relationship based on this article:
If you read the comments, someone who may or may not actually know is even claiming that the Shadow of the Eternals demo that they're showing is an old Eternal Darkness 2 demo that Silicon Knights was working on... despite the fact Precursor submitted a document about wiping all computers purchased from Silicon Knights.Edited by jhoff80 - 5/10/13 at 8:01am