Hell, do ANY AI fleets use LPs? I don't think so. I use them to juke aliens all the time. (oh look, the civ fleet is running away PLONK oh look who is strafing you with his point defense cannons! lolololol)
It's been some time, but I'm fairly certain the same thinking got my favorite captain exploded by
Precursors. I believe Steve's Soviet vs NATO campaign also has NPRs using an LP. On the other hand, I did use them to completely dodge a
Swarm Queen, but that's hardly a noteworthy feat. I could be misremembering on both counts.
Even if enemy AI does it, I would imagine that civilian shipping ignores it due calculating the pathing regularly (similar to how they only path to colonies within four jumps).