If there is not stiction one of the effects of this would be more body roll when cornering to the left.
Would that not be when cornering to the right Peter? since that would unload the right hand wheel where the OP has rebound spring play, reducing roll resistance on that side until the rebound spring becomes loaded.
Oh shoot! You are absolutely correct Richard. I'm so used to sitting on the left when driving I started thinking of the LHS spring as being on the driver's side. What's called a "senior moment" perhaps
As Richard points out it is when the rebound spring is loaded in cornering it inhibits the rise on that side of the car.