Brake bias wont naturally induce under or oversteer if you stay within the limits of the tires, because braking distribution doesn't affect weight transfer (suspension and centre of gravity height affect this).
However too much front bias means if you are heavy under brakes, the front tires are on the limit of traction, so if you then try and turn, the car wont want to turn, so you induce understeer by the nature of you have used up all the available grip.
If you have too much rear bias, the car will be unstable under brakes. Remembering the car will go where the rear wheels point (as they dont change alignment with the chassis but the front wheels do when you steer). If you have too much rear bias the rear wheels wont have enough traction to keep the chassis straight so any disturbance will make the car unstable. This is kinda like oversteer.
Doing donuts, the only thing brake bias has to do here is keep the car in position while you shred the rear wheels. If you had rear bias, the brakes would slow down the rear wheels which stops them spinning... donuts are not "oversteer" in the racing sense