I think I may be making a little progress!
After my last post when no one on this forum including me could see any reason for my rear brake disc problems, I tackled my local Honda dealer again.
I explained that I'd dismantled the rear brakes and found no good reason for only the central part of the discs being swept.
I went through it step by step, pointing out that the caliper sliders and pistons were clean and uncorroded. Therefore surely there must be some "low-precision" engineering somewhere in the brake system that was causing only the central part of the discs to be swept.
Yes, was the response, there is an engineering issue with cars of your age and mileage, I was told. We'll contact Honda Customer support for you, and please do the same yourself so that a goodwill offer can be made hopefully.
I'll let you know how it goes with Honda.
By the way, there's been discussion on this forum about scored rear discs. Now as I understand it, scoring will arise out of corrosion, and corrosion will occur on an upswept part of the disc. Therefore, I would ask those who've experienced scoring, was it on an upswept part of the disc? If so, my dealer's comments may be relevant to you.