Thanks Steve and Barry.
It may be happening when I'm going fast too, but I just don't hear it due wind/engine noise blocking it out.
I don't think it's triggered by turning the bars -- I think it's from flex in the forks, axle or loose bearings.
I'm not quite sure if I notice the brake engaging--I don't plunge forward on the turn. But it definitely squeaks. That said, me brakes are squeaky. But it's definitely louder when making turns as opposed to going straight.
Brake does not stick. They return when I release the lever.
Brake does not pulse when when it is applied.
I do know know how to measure if forks are level. Do not know if oil is same in each one.

When placed on the center stand, the wheel rotates freely for the most part. There is one spot with a little resistance. Maybe rotor is slightly warped. It has some scoring in it.
I'm going to put it wheel back on, torque to 33-37lbs and see if the problem persists. I didn't detect and axle wobble before hand, though...