I decided to go back to Mountain Lion, 10.8.5 via Time Machine... not sure of what to do next.
I did check to see if the problem with ColorSync is also present in this OS and whadya' know... it IS! I ran the verify function of ColorSync and it turned up a problem with the same 4 color profile files. At least here it has not started showing a stupid error message upon startup or logging in of the machine. Still requires caution though... after I ran the verify, I restarted the machine and all sorts of things in my dock were messed up. I was able to put them right however. What I did before running ColorSync was move several items I had in a folder I called "Third Party Utilities" into the OS's Utilities folder... was that what set ColorSync off? I dunno but all the affected dock items had been in that folder.
I suspect ColorSync.app has a massively annoying bug in it and apparently it's been there for a long time... want to take bets on how long Apple will ignore this one?
... or Adobe, could be. The profiles are all in the Application Support folder for Adobe...