Just a few ideas on the fuel supply side of things and to agree with what a few others have said..
I'm no LR EFI expert, but I've had lots of dealings with other EFI systems and they're pretty much similar.
Wrong filler cap / blocked vent - a real possibility. It's difficult to tell whether air is coming out of, or going into the tank when you remove the cap, but, if you can either get someone to watch the bottom of the tank, or better still, measure the distance of the bottom of the tank from the ground before and after you remove the cap, this will be confirmed.
There should always be a slight pressure in the tank for a 2001 model when the engine is running. If the bottom of the tank goes up when the cap is removed, then that should be OK.
Venting - for a 2001 model, there will be a carbon canister to catch the vapours from the tank. This will be connected to the tank via the vent line and then to the manifold via a solenoid valve. When the ECU sees that the engine is operating in a certain way, the valve is opened and the vapours are drawn into the inlet manifold for consumption. If the solenoid valve is open all the time this could cause a fuel tank venting problem.
I'm no LR EFI expert, but I've had lots of dealings with other EFI systems and they're pretty much similar.
Wrong filler cap / blocked vent - a real possibility. It's difficult to tell whether air is coming out of, or going into the tank when you remove the cap, but, if you can either get someone to watch the bottom of the tank, or better still, measure the distance of the bottom of the tank from the ground before and after you remove the cap, this will be confirmed.
There should always be a slight pressure in the tank for a 2001 model when the engine is running. If the bottom of the tank goes up when the cap is removed, then that should be OK.
Venting - for a 2001 model, there will be a carbon canister to catch the vapours from the tank. This will be connected to the tank via the vent line and then to the manifold via a solenoid valve. When the ECU sees that the engine is operating in a certain way, the valve is opened and the vapours are drawn into the inlet manifold for consumption. If the solenoid valve is open all the time this could cause a fuel tank venting problem.