That IS some SUPER-plastic forming. The process seems to be more along the lines of blow-moulding although very close to sheet hydroforming. The different methods they show (cavity, bubble back & diaphragm) can all be applied in hydroforming.
The main differences are material, forming media and temperature. The material needs heat (500F) to become 'super'-plastic, pressure and temperature differentials don't allow for the use of fluid as a media. However, the stretch rates achieved are phenomenal.
We stamp some aluminium here but our hydroforming is all steel, so I can't comment on any particulars with h-formed AL.
I suspect this is a very slow process and suitable for short-run production only (by automotive standards). Control of the draw using gas pressure (and probably hydraulic pressure for the binders or draw beads) must be a nightmare, given an expanding volume and trying to chase it with heated, pressurized gas. I wouldn't be surprised if there's actually a vacuum assist in the receiving tool for the final hhmmph!! to bring it home.
*Without data, you're just another person with an opinion.*
Hydroformer