I think it would be good for the pilot to understand why,
I have multiple PPLs, a CPL, a CRI, and two degrees in aerospace engineering, plus attended ETPS.
The PhD and Test Pilot School are the only courses which covered that material, and I'd venture it's a bit much for PPL. That said, in my opinion spinning should be in the JAR/EASA CPL, which it isn't.
Do bear in mind that the job of a PPL is to create safe recreational pilots, who can go an do some learning on their own, not cover everything there is to know about flying.
G