I know I am waking up the dead here, but I just can't let it unanswered

I read the entire thread and ended up astounded why the simple and straightforward answer just didn't come up
The reason corded tools don't have brushless DC motors, is because those can't run on AC from the grid. They need low voltage at a very high current. This is exactly what batteries provide, but the opposite of what the power cord has to offer.
If you had brushless DC motors in a corded tool, you would need to convert low current, high voltage AC power to high current low voltage DC. That means you have to implement an additional power supply, that is bigger and heavier than the BL-DC motor itself.
Brushless motors just don't make sense i a tool running on AC. It would only make the tool bulkier and heavier, with no added benefits.
Mirka has corded sanders with brushless DC motors, to provide a super compact sander with a very low center of gravity. It runs on 48V and comes with a heavy external power supply, that is bigger than the sander itself.
(I know, they are slowly sorting that out, too. But so far the universal motor has the better weight-power ratio when it comes to AC.)