There's no reason it wouldn't work, I've done it numerous times for odd applications. It's easiest if you get multiple of the same model PSU, but regardless the execution is the same. You tie pin 16 (green/power-on) of all of them together, and when it's grounded they'll all fire up simultaneously. Quality PSUs will do just fine.
This means that when they made the announcement of 27 May, they must have already known that their tapeout had failed, and there would be a delay of months for the design to be modified and to go through the full sign-off verification process.
I speculated this back in May, as I was familiar with the process as well and their story wasn't adding up. Especially since the design company cut ties with them publicly.
I'm probably one of the few people who would say you could cool 2kw in a case of that design, you just need to have the proper cooling plan, which I doubt they have. Keep in mind, their design has changed yet again, and they're claiming magical fairy-land efficiency, saying they'll outdo even the KNC giant. Greater efficiency = less heat. Who knows.. maybe they'll pull off the cooling, but that's if this is even legit.