Hey Tom, I have similar distortion. I lost all hearing in my left ear in 2006. My right ear was perfectly fine until an attack in 2015, which left me with some hearing--but it's all distorted. I describe mine as like you're listening to a stereo, but the speakers are blown. Or, like setting the tuner between two radio stations. You can hear that someone's talking, and you can catch a word or two, but most of it is incomprehensible because of the distortion. You said that "talking to someone on speaker phone outside will almost always sound distorted, but inside they sound fine." I don't have that much variation. Nobody sounds fine, inside or out.

My experience has been that doctors (and I have seen dozens at this point), both ENTs and neurotologists, tend to lump most sound phenomena into tinnitus, or something "tinnitus related," with the exception of hyperacusis, recruitment, and diplacusis.

I use a lot of tech to deal with the issue--innocaption or captel to make phone calls to friends/family, sprint tty to make phone calls where there will be an automated system on the other end, Google Meet for video calls (Zoom doesn't have captioning unless the initiator pays extra to have it there, but Meet has captioning), otter.ai or Google Live Transcribe for having a live conversation with someone. Sounds like you still have hearing in your right ear, so hopefully you won't need any of that.

By the way, that weird echoing that missniki621 talked about might be diplacusis echoica.