Dan and co. never mentioned the topology, but given that they're stable and double power all the way down to a 1-ohm load (6400 W), weigh over 150 lbs. each, have 84 output transistors, and functioned as space heaters in the demo room, I'm inclined to guess Class A.
But it doesn't work that way. The amp is likely Class A up to some power level and impedance (as are ALL Class AB amps!), but certainly not to full power at 1 ohms -- that would mean it would have to consume and put out heat equal to a theoretical minimum of 12.8kW. Considerably more in an actual build, and very unlikely to be within the continuous AC power levels supplied to that room.
Other than with single-ended class A amps (but not including pseudo push-pull types like PASS Aleph), pure class A changes to class AB when the output current goes above what the static bias level supports. So always take the "Class A" designation with a big grain of salt.