My priority is sound quality. I guess I'll settle for new carpeting instead. 
Rooms with too many hard surfaces for audio is little like a room full of mirrors for video, too many reflections.
It is hard to tell the original sound from all the reflections from the room.
But it is a delicate matter to get the right balance. The floor is the easy part, more and thicker is always better.
The wall and corners behind the speakers is the next thing to adress, but it is a good thing to have a hard surface in the middle of the wall between the speakers.