Possibly fuel filter, when was the last time that was replaced? How about your fuel tank - intermittent stalling/not starting on a 06/07 just like what happened to me (stalling to be specific) was caused by fuel in the tank boiling during peak summer 110°F heat here in Las Vegas aka fuel vapor lock. Solution to my problem was to mitigate that heat, soI insulated the tank bottom and side next to the exhaust pipe with industrial grade single sided adhesive insulation pads. Never had the same issue since.So...I replaced the fuel pump on the 2007 LC and it continues to not start randomly. Any ideas?
Why does it still stall/not starting? - could be all related to one thing: hot fuel, pump overheating and not adequately moving the liquid from tank to fuel filter to injectors to combustion chamber.