In most SEPs, recovery from a normal spin can be achieved by letting go of the controls...
However, altitude is required for this.
In non aero flying, aside from a departure caused by wake turbulence or avoiding action, it is difficult to see when a spin at recoverable altitude will happen.
The normal case is stall/spin at low altitude, where recovery is not feasible.
I note that the original poster has recently converted from gliders, which require much less altitude to recover from a spin. Even relatively light aeroplanes take thousands, rather than hundreds of feet.
Please do not think that I am taking a side here, I'm just trying to explain why the syllabus is the way it is.... The prevention is better than the cure.