Happened to me this November. Lufthansa flight Venice to Zurich. My 36 linear inch computer bag had to go on the scale at check-in. Lufthansa has an 8kg limit. I was under it. Made sure to give the agent a look of indignation.

It is much harder to sidestep this than you might think because since the weight limit is really so low as to apply just to your briefcase basically, the main bag will HAVE to be checked. So you must use the agent or at least have some form of interaction with a human being.

8kg all included is not easy even for light packers. It is almost impossible with a standard 22" roller that weighs often 5kg when empty.

Till