Which amplifier that they distribute has this?
A stereo amplifier with differential (XLR) inputs can be easily driven like the NAD system- in fact they do it the easy way. You drive one +/- input with the internal wiring swapped around to -/+ AND the speaker terminals on that channel swapped from +/- to -/+. To the user, they have no idea the two amplifiers are internally running in opposite polarities.
There is also some benefits with channel separation tests at mid frequencies as any leakage is cancelled in the other channel.
Have a look at the rear of current NAD amps. Notice the red/blue terminals as opposed to red/black and also notice the connections for BTL- they are not how you would 'traditionally' expect them to be connected to the two 'hots'. That is your clue they are already running the amp out of polarity.
Here's a NAD Purifi equipped example, we know the right is inverted with respect to the left internally. We know that right channel 'hot' is actually a 'cold' and the left channel '-' and right channel '+' are actually tied together at ground. Tricky eh?
The bridge switch can then just kill the right channel input (if there was anything connected) and send the left signal to the right channel amp which is already inverted.
NAD also tell people not to connect the 'blue' connectors to a common ground or ground as they know people wouldn't understand the method I described above. Back in the 2200 days (the first NAD to do this) a lot got blown up as they simply used black and red. Plenty got destroyed in showrooms with common ground speaker switchers...