Well that site is worthless for the LR2.
LR2's aren't listed. However, you can go to the TOPIx website and register with your VIN and buy a day, week, month, etc subscription to the technical manuals for your vehicle for a few bucks.
TOPIx Land Rover Home
I'm subscribed for a week right now because I'm doing a lighting project on my 2008 LR2 this weekend, which I'll post later. Been mad saving some .pdf's for sure!
This is what the technical manual section on the anti-theft features says:
The global open/close feature allows the user to fully raise/lower the windows with a single press of a remote handset
button. The button must be pressed and held for more than 2 seconds. Either or both global open/close functions can
be disabled using a Land Rover approved diagnostic system.
NOTE: Remote global close is not available in certain markets, North American Specification (NAS) for example.""
There's your answer.