Correct, and to answer your question from the other thread, it's my understand that the lounge is open, but I guess your folks will have to see today. The lounge is located on the upper level in the middle near where the duty free shops are.
And yes, from AGP you will just walk out into the departures area and then to get to LGW, you just walk to the south end of the terminal and pass through a quick passport control and that's that. Be sure to account for about 5-10 minutes of walking from the lounge to the gate.