There are many of us here who had to do spins as part of their PPL. The reasons why they were removed as a mandatory element are well documented. However, when they were removed the requirement from slow speed awareness training was increased. The theory was that students (at least PPL students) should be given far greater depth of knowledge in how to avoid spins/stall etc rather than just learning how to recover. After all, the most likely scenario for an inexperience pilot to get into a spin is the base/final turn at about 500ft or so; spin recovery technique in this environment is rather academic.
Intentional spinning is a bit like instructors encouraging students to 'play around' within the stall; what's the point? These are flight regimes that the inexperienced should be recognising the onset of and subsequently avoiding.
I'm not sure the average PPL student would gain much from a short lesson in spinning and it is probably something you should do after your PPL, along with other continuous learning skills. That said, if you wish to burn some money........
PS. The PA38 does indeed spin well. It can also bite. I can think of far more benign aircraft I would wish to use to demonstrate spins.