It does though, regardless of which brake you use. I think this is because the forces are applied at the contact point on the road. It is like applying brakes

It does though, regardless of which brake you use. I think this is because the forces are applied at the contact point on the road. It is like applying brakes to the left side of a car, it is going to turn left. The effect is less pronounced in a rear wheel because the braking is naturally limited by the tipping. Shifting weight might help a bit, but you still need to grip.