Sometimes even LH's first class lounge is too crowded. I visited it on November 8 while flying SFO-FRA-BOM and there were literally no seats available. It was possible to sit at the bar, but I wanted a real chair. I finally found one right by the entrance and got to watch the constant stream of passengers redirected to the "right" lounge.
Finally one person arrived and starting complaining loudly about the lack of seats. I was surprised it took that long for someone to complained. Of course there was nothing that could be done, the employees were unable to magically create more chairs.
On my return flight a few weeks later, the lounge was only 1/2 full and I really enjoyed my visit.