I doubt that tube dampers will do anything for the cause of the popping noise. This is a problem with a tube, a problem with a tube socket (this is the most common source of such problems) or a problem somewhere else where a charge builds up and then suddenly discharges (probably somewhere in the power supply circuit).
Tube dampers work to minimize microphonic ringing, but that is not an issue here. Do they improve the sound? In some cases they do, in others they make the sound "drier" which may actually make the sound less pleasant. Consider tube dampers and other damping products (platforms for gear, weights to put on the chassis, etc.) as tuning devices--they alter the sound which means they can also alter the sound in the wrong way.