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all i see there is rear axle flex....
the second pic... look at the LCA angles, and look at the gap above the wheels, none on the drivers, about 6" on the pass
up travel doesn't keep a tire from lifting though. that's why most rigs on here stuff whopping 4" (give or take an inch) but have gobs of droop.
to the OP yes, you will notice an ls on a two wheel drive. if you can find one for cheap, buy it. if you can find a locker for cheap, buy it instead.