I was taught as you explained here, nevertheless, I found that PowerFlex 525 from Allen Bradley has a parameter to set a DC braking time after the deceleration ramp. I was curious how they could implement this without damaging the motor. To this point I believe they make use of brake resistor in combination with the DC current injection and feeding one coil at a time with a defined duty cycle. But, that is just my guess. The thing is, it works, I had an issue with a conveyor that after the deceleration ramp (by inertia I assume) it continued to move for a couple of seconds until completely stops, even though it was already stopped before. I moved that parameter and it's definitively holding the motor 1 extra second after it fully stop.
Most likely not. Check out the rectification and inversion in motor drives lecture at: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-FZIVhHNdYnY.html Ideally the incoming AC is rectified entirely to DC from all 3 phases equally.