No matter which direction the lever at the top of the room is bashed and vibrated, it will produce liquid friction in the viscous honey either way it moves. The viscous honey acts as a 2 way brake that slows down the lever whether it goes left or right. The lever can be made of non conductive material such as plastic so that it does not conduct much heat back into the ping pong balls. The ping pong balls must have an opposite reaction when the honey heats up: the ping pong balls slow down.
The viscosity of the honey can be changed and tuned by diluting it first with water. If it is too viscous it will not allow the lever to move at all.
The ping pong ball room thought experiment is not intended as a useful machine to produce energy. Ping pong balls require energy to move. However brownian motion in fluids (internal energy) does not require energy to be added at room temperature. Can this device be produced microscopically to violate the second law by extracting heat from water at room temperature with no cold sink? Does viscosity produce non equilibrium?