No Lounge Airside
I have flown out of GVA many times, the LH and LX and all other Lounges are before security and passport control. If you have enough time and want to check out the Lounges, then you have to exit passport control and customs. The Lounges are upstair to the right side in departure area.
*G can use either lounge. My Swiss colleagues like the LX lounge better.