Earlier quoted context omitted.
Tesla brakes are conventional. Yes, the driver has to push harder if the hydraulics fail, same as any car. There's nothing unique to the failure here, normal cars run their boosters off of the power train too (via belts or vacuum usually, also some have 12V pumps and would be subject to exactly this kind failure). As to whether the booster is run off of the 400V or 12V bus I don't actually know. My guess would be the…
Seems really odd to me to have 400V brake regeneration and run the brake booster off of 12V, but quick searches don't reveal the answer for a Tesla or even a Prius.
Again, Tesla brakes are very conventional hydraulic devices and they work (and fail) like brakes in any other car you're going to drive.