I don't have an S76 flight manual handy, but I'll look at it when I go back to work. I can't recall seeing the requirement for doing the stick-jump test on every flight, but I haven't read the flight manual's checklists that closely for a long time. We just use the checklist provided by the company, and that only requires the systems checks once per day.
I saw the part you quoted in the NTSB report, but just assumed that they had misread the manuals again, as they seem to do far too often. If Sikorsky required the checks for every start, it would seem likely that all operators would have to include them on the checklists, wouldn't you agree?