Very many thanks for all the suggestions, comments and helpful links
Having the confidence to disable Shake Reduction (and leave it off) made me look into more mundane reasons for my less than reasonably perfect photos.
I introduced a modicum of damping to the system, mostly by using the tripod as a bipod and leaning the whole assembly on a solid padded surface, the point of contact being the base of the pan/tilt head. This made a significant difference.
I can now recognise that one of my lenses, an old Tamron 200-500mm f/6.9 with a Tamron SP 2x converter fitted, is limited by colour fringing. The lens alone seems to work perfectly adequately
My other lens, a Tamron 500mm f/8 mirror isn't affected (so much) by colour fringing with the same 2x adaptor fitted, but of course it's fixed focal length, which can make finding the subject in the first place rather more hit-and-miss and depth of field can be an issue if there's more than one subject, at differing distances, in the frame.
Nevertheless, I feel I've made significant advances in my quest for "almost perfection" without forking out for expensive modern autofocus glass ... maybe next step would be to buy a lottery ticket
Just one point, re the use of magnification in Live View ... that's a young man's game ... with the limited close-focus caused by advancing years I can't actually get close enough to the viewing screen to judge the critical focus without the whole thing going out of focus ... time for another visit to the optician
Thanks again all for the help and advice. I now have the confidence to press on improving my technique without the nagging feeling that I'm fighting the technology