The video said that the game will be funded from three sources (1) the crowdfunding itself (2) "a significant amount of money" Doublefine is ponying up themselves and (3) a mysterious external partner who is bringing additional money. I've heard other sources that Psychonauts would take about an estimated $13mil, which means that either this external partner could be a co-publisher of some sorts or someone with a lot of money to burn, or Doublefine is putting a lot of their own cash into it.
I didn't know about a lot of the problems people had with Broken Age. I've never played it (The only Post-Psychonauts DF game I've played is Costume Quest, which I thoroughly enjoyed, and Stacking which refuses to run on any computer I own) but I'm hoping they've learned from their past crowdfunding mistakes. I really don't think that with something like Psychonauts that has garnered so much nostalgic affection and #hype that they would let it go down a route less than what a sequel for it deserves.
I plan on throwing in a couple bucks. I haven't been burned by crowdfunding yet and my gaming budget isn't exactly pressed since I'm still on a Last Gen console. But yeah, I can see where your guy's concern makes sense, I totally buy it.