Charlie,
Cave work is much more abrasive to ropes than tree work. Ask a caver how often they wash their ropes. then ask a tree climber. Some tree climbers have never washed a rope in their, the climber not the rope's, lifetime.
Another plus for a supple rope is how it can be whipped and jiggled in the tree. A supple rope can have a ripple or wave put into it to get the rope to jump around in the tree. A stiffer rope has to be 'pushed'
There's nothing wrong with using a stiffer rope, just personal preference. Rope choice isn't always about strength and stretch. there are other subtleties too. Being color coordinated is SO important you know.
