Funny - on our IAE equipped Airbus we have an ECAM titled:
FUEL ENG 1(2) LP VALVE OPEN
Condition: An engine low pressure valve is open.
After a close reading, this ECAM would seem to indicate the engine low pressure valve was open when commanded closed.
Also the last time I checked, cycling the engine master to off closes both HP and LP fuel valves, among other things. Finally I would think it a miracle that an engine could remain running with a HP valve closed.