@mijostyn, I expect you intended "It is . . ." when you said, "If is extremely hard to over dampen a room."
But I guess it is not impossible. Several years ago I had a friend who was a reviewer for one online audio magazine. Being serious about the task he hired a then well-known acoustics company to advise him on room treatments. That resulted in installation of a large number of Tube Traps plus several panel absorbers, along with an array of diffusers suspended from the ceiling. At first he was pleased but after a few weeks became dissatisfied that so much dynamics and "life" seemed to be missing.
At his invitation another friend and myself came over to help. One by one we eliminated most of the tube traps while he listened to a couple of reference recordings. After about six traps had been removed he found the sense of dynamics and aliveness he'd been missing. So he sold the excess traps.