She definitely says "the way we bring 20,000 amps into the front side of the wafer" (around 2'17'' into the video). It does seem an awful lot.
If we presume the wafer consumes a large percentage of that (say 20kW out of the 24kW max) and that they are feeding the "wafer" with DC at 1v, then they /do/ need to feed in 20,000 amps to deliver 20kW of power at 1v.
So yes, 20kamp is a lot of current, but it is within the "power budget" the device seems to express in its marketing material.