Mark - I never quite understood dc braking before but that makes sense when you explain it. I vote you a star. I'd vote you more if I could.
It provides an interesting parallel to the discussion of rotor heating during an unloaded (inertia-only) start, which was also equal to the [final] kinetic energy of the motor.
In the case of dynamic braking it seems somewhat easier to understand the result from physical considerations. The stator provides a dc stationary field, and the rotor acts like a generator feeding the rotor resistance (load). Neglecting other motor losses (stator I^2*R), it is easy to see there is no work done by the stator current or stator field.
Stator Field Power = Torque x Speed = Torque x 0 = 0.
If there is no work done by the stator field then conservation of energy tells us the rotor kinetic energy has to go somewhere and the only place it can go is to the "generator load" (rotor resistance heat dissipation).
As I said the intuition is a little tougher for the unloaded start. (Using similar assumptions of no stator losses or other losses). In that case there is energy input by the stator field and the amount of that energy by conservation of energy must be TWICE the final kinetic energy of the rotor. (1 times kinetic energy goes to kinetic energy of rotor, and 1 times kinetic energy goes to rotor heating). It doesn't follow intuitively, but maybe it follows somewhat intuitively (?) from analogy with the braking case.