So sorry to read all of this; as a cyclist who regularly uses the WoL, a dog owner and a fellow PCS sufferer.
Your instinctive reactions are understandable, I had an accident on the road earlier in the year, and took me a good few commutes to get my nerve back when cars passed closely.
For my own part, on shared use paths like the WoL, if I see someone walking without a dog, but with a lead etc. I’ll slow down and go on high alert for a possible surprise, and move away from the edges if possible.
Hope the head is improving, I had a really bad one 3 years ago and I’m not back to where I was before, doubt I ever will be. Pm if you like, I’m in Ratho so assume fairly local.