Duncan,
They are spiral cut and as you say they lack in stiffness. Problem is they are cheap and therefore popular.
Changed loads of them when they have ripped apart. the 3 jaw Lovejoy type are also cheap but these cannot control backlash and not that great at handling miss-alignment.
The Oldham coupling is the only coupling that can handle miss-alignment in two axis whilst presenting zero backlash if you get the right torque disk [ the black ones ]
History trivia:-
Mr Oldham was a Scottish engineer who came up with this coupling for use on Mississippi Belle type paddle steamers. The original torque disks were carved out of wood and designed to shatter if the paddle wheel hit a sunken log.
Previous to this when the paddle wheels were fastened on the end of the drive shaft if they hit a log it cost them either a bent drive shaft or a new wheel. This way the coupling shattered and it was just a case of sliding one half of the coupling up the shaft, insert a new disk, and Belle was your auntie.
[Edit ] kan't spel
Edited By John Stevenson on 11/02/2016 20:34:27