I doubt it. For one, brushed motors can have more than two poles. Two, it would be prohibitely expensive since the circuits would be very similar in size/specs to what we use - and our stuff isn't cheap. Three, it would almost have to be sensored to guarantee cogg-free operation at very low rpms under heavy loads and I don't see any drill maker going that far for a simple drill.

Yeah it's just a 4 pole brushed motor. It has 4 brushes in it, 2 (+) and 2 (-), that oppose their likeness. So you have a N-S-N-S orientation in the rotor. They do have one thing in common with 4 pole BL motors in that they make a lot more torque.