that would be “a couple of other people”, too many. the more users logging a case number with Apple, the tally would certainly rise.
yep ... I had done everything recommenced/listed by Apple care tech support above in this thread ... including safe boot, disk first aid etc. the engineers had my Apple care advisor walk me through reformatting my macOS hard disk followed by a fresh install - but the issue had not gone away. so the ball is now in their court.
we had run the tmdiagnostic script provided by the engineers, and the logs were forwarded to them for analysis. at least the MacOS engineers have now begun to take an interest and acknowledged that a tiny minority of users may have this issue, but I am still waiting for a fix?
my workaround described previously allows me to complete at least one good backup each time.
(furthermore the engineers had confirmed that there is no minimal wait time (like one hour) before the next time machine backup can be run again.)