There is no readable value for the low pressure pump. Can you go WOT without any hiccups in the power band? Does it feel like all the normal power? If so I would rule out fuel system. if your not convinced, run some BG44K through it, doubt it will help thought.
Highly doubt it is timing related, when you start it does it run normally before it stalls?
also another thing you can do, if you can get the car to warm up is check fuel trims, short term and long term.
found a jag service bulletin that said, "Check part load breather pipe for leaks or disconnected Check brake vacuum pipe for leaks or disconnected Check intake air system for leaks"
If it were me personally I would check for vacuum leaks via smoke test. I would also make sure that your vacuum pump is working right, how does the brake pedal feel?