I have a 3 foot folding rule and use it when spindle turning and rarely unfold it, if it touches the turning when I am marking out it does not fill me with dread that metal rules touching spinning wood do.
As joiner for nearly fifty years a 16 foot tape has been part of my going to work kit and clipped to my belt, same as a pencil behind my ear.
I have only ever worked off paper rods when shop fitting and the rod went with the job, first to the wood machinist, then to the joiners with the prepared timber and then onto site with the job. It was a very accurate way of working and few mistakes were made.
Joinery shop rods were drawn out on birch ply, in the case of stairs only the height was drawn out on a batten as Jacob described and set out with dividers. The newels and winders (or kites) and easing on the strings were set out full size on the ply and with dividers, trammel points and a batten, 16 foot tape and a roofing square with the veritas nuts the whole staircase could be set out and made very quickly.
So a rod for setting out is essential for me when setting out three dimensional work and a a 16 foot tape,
for toy making a Starrett combination square