In looking at your room diagram, I was wondering if you notice any sort of channel dominance or time alignment/phase issues being made from the right wall: I think the bathroom is along that wall. I ask because of how close and oddly comprised that wall, and area are verses the left side (from couch position). I would think you would be hearing or experiencing some different characteristics from the right verses left channel. I have a slightly similar issue in my listening space, only drastically more profound.
One test I did to measure and see how dramatic the difference was, I played a simple instrument tone from violin or any stringed instrument. I disconnected one channel/speaker and documented sound qualities, characteristics, feeling, essence, issues. Then swapped and did same with other speaker only, and did same process. It was amazing how different the sound was coming from each speaker because of the asymmetrical distance to walls. Granted to be noted this would change again when both were playing (phase, cancellation, other time delays, smearing, etc) but this gave me a very accurate and dramatic test to at least find ways to contend with my one odd wall due to distance from speaker to it, verses the other and it's vastly more open air.
I would wonder if going dramatic with this test, and then use all the panels along that bathroom wall to just hear if and what difference there was to just know/have as reference.
I think your and other members thoughts on the ceiling are spot on!
Behind the speakers I want to remember would help with focus and again, smearing/blending.
Best of luck. Any room acoustic improvements produce vastly greater impact on your listening experiences than anything.