I would say the factory grip of a LS is closer to the 1.8mm
On my DD's 2015 Xeno we put the .5mm lizard skin grip over the existing LS factory grip. For some reason she didn't want to remove the original grip. I can't know how her brain works but everyone that has tried her bat thinks it feels great...
The one and only request for that ever
We have regripped several LS bats, the 1.1 mm is about the same thickness as factory.