"acts as an LSD" confused me. I figured it was not a mechanical LSD, but electronic, using brakes.
Looked it up. Power Wagon has a "Torsen-style" mechanical LSD rear diff that is also lockable. Same as LC center diff.
Personally, I never use any traction aids until I start losing traction. This way, if I get stuck in 2wd, I can then pull out the big guns, engage 4wd and unstick myself.
Center diff open and start to slip... Lock center; extract self.
Open front, rear... You get the idea.
This might have to do with my local terrain. Mud is the only obstacle I regularly deal with.
Need to cross this field to turn on a pump?
Bad idea to start that adventure with all traction aids on only to bog yourself down to the frame a mile from the nearest tree.