Thanks for the reply Peter. I had left the rate of change at the default of "2". I guess it should have been obvious to me that I can stabilize the winds greatly by changing that setting.
ASX shows a weather report for the nearest station including winds aloft and these show the wind direction to be fairly contant as I fly down the California coast, i.e. the wind is not changing from station to station. But in the sim, the wind oscillates through an arc of about 180 degrees, back in forth, more or less constantly. It will stay somewhat still for maybe half a minute and then begin reversing direction again.
I am not an airline pilot nor a meteorologist and have little understanding of what the winds aloft generally do, I but I have a strong suspicion this behavior is not intended in the simulation nor realistic.
Maybe this is an anomally and I should look at what's going on over a variety of different flights. Anyhow, your reply has given me more insight into what might be going on to cause this behaviour.