The physics of gyroscopes is unaffected by how the axle is mounted. The mounting of the axle will change how the forces are transmitted to other objects, but the underlying physics don't change. If you believe that gyroscopic precession doesn't occur in a motorcycle due to the fact that the axle is mounted at both ends, you're mistaken.
Now, whether all this plays a role in the brake design originally posted, unless the rotating rotors equal the mass of the rest of the wheel, they're not going to be imparting a whole lot of force by comparison. Can't imagine it's worth the added cost, weight, and complexity.
mystic_1