The phantom center sticking to the wall is telltale sign absorption needed.
Good thing is that not all that much absorption is needed to fix that.
If you‘d place an acoustic panel in front of that furniture, instead of the white chair, while listening to music, you’ll notice the change immediately.
The height of the panel could be the height of your speakers. Then you could put it in a closet or somewhere else, when you are done listening,
Tell me if this is what you are experiencing: Odd sensation that things panned near center or at the exact center sound coming way back from the wall, but at the same time sound very forward and prominent.