You are correct. tsMuxer and ConCat/Split both do the same thing. And both will join files that have been broken in the camera. Incidentally, I erred in saying the chunks were 5GB. They are actually 4GB, almost to the bit.
I’m a little embarrassed to admit it, but by digging deeper into both programs, I finally was able to make them work. Your observation that ConCat/Split is easier, is also correct. Simply selecting the files and clicking a couple of times to join them is a whole lot easier than opening a program, searching for files, etc.
As for the “fuzziness” I complained about… well let’s just say I’m having the back focus on my camera checked. Fuzzy is not the fault of the joining programs.
I would like to thank you for your insights and information. It provided valuable clues to resolving the joining problem. Now if the camera manufacturers would consider “fixing” the underlying problem, users would find their cameras easier to use.