That may be a minor side effect, but not the reason they did it. It's more for high speed dynamic handling. Do you really think they would go to all the trouble of optimizing the rear axle width to make the turning radius at idle a tiny bit smaller? This is just another one of those internet myths where somebody's speculation as to why they did the narrower rear axle has grown into a "fact" in many people's minds.
I've ran 1.5" spacers on my Blazer to match track widths and there was no "seat of the pants" difference in turning radius. Maybe with a tape measure you could tell but definitely not from just driving it.