During my 2/3-months stay in [LN] (during this mod version). 90% of the encounters with the =LSF= logged in had been when they have acted like the regular LPI/LN-force. Basically, patrol Liberty and shoot baddies.
The other "10%" was one event where the =LSF= wandered into Tau to go buy a Spatial or something, they went through Bretonia without notifying the authorities there. (Which got In-RP consequences.)
And once or twice seen in Rheinland territory, but then it was aiding/attacking against RM forces.
Covert missions, espionage, guerrilla warfare, infiltration, disrupt enemy supply-lines, that kind of stuff, nah haven't really seen that at all. Although admittedly many of these things are only possible in forums/specified RP due to game-mechanics, I haven't really actually seen the stuff that is possible to do in-game, such as attacking enemy supply-lines for instance, ever occurring. Might be bad timezone for me tho, who knows.