Is this normal?

I didn’t state that correctly.

If one side of the axle moves fore / aft, then the axle is no longer parallel to the other axle, and the wheels are no longer pointing straight forward, they are angled to the side. That will cause the vehicle to swerve one way under acceleration and the opposite way under deceleration.
 
Yeah the bushing looks worn.

Is it normal for grease to ooze out of a Johnny joint when greasing it. One of rear lower control arm Johnny joints accepts grease way easier than the rest. I want to be sure there are no other bushings or joints that are bad.

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