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It's more of an industry wide thing:AWD means all wheel drive even when the vehicle has more than 4 wheels. So in the case of a vehicle with more than 4 wheels, 4 wheel drive would indicate four of the wheels are driven and the remainder are idlers. For instance 6x4 would indicate six wheels with four driven wheels.

https://en.wikipedia.org/wiki/Six-wheel_drive

So nwheels x n driven wheels.

You seem to be talking about something different. The conversation is about vehicles with four wheels and the differences between 4WD and AWD in that context. Perhaps you're saying that there is no difference?

But 6x4 notation is handy when you have six wheels, sure.

With a four wheel vehicle there is no difference between 4WD and AWD, just like with a six wheel vehicle there is no difference between 6WD and AWD.
That’s definitely not accurate, at least by the American definition of the terms 4WD and AWD.