One other thing to remember when training in a Cub, get spin training before solo. In the days of the Cub, it was required. The reason it isn't required anymore is because modern designs are pretty much self resolving and difficult to spin. That does not apply to a Cub. If you put spin inputs into a Cub you'll be spinning right a ray... and you need to get it out.
What you say here is technically true, but here's how that plays out in the real world.
The bolded part, "modern airplanes are difficult to spin", creates a huge mis-understanding about the whole spin thing.
The exact same control inputs (or lack thereof) that will put a Cub (or other similar 'old' airplane) into a spin will put a Cessna 152 (or other similar 'modern' airplane into an
incipient spin.
Allowing a significant yaw during stall will yaw/roll either airplane over.
The Cub will continue to develop into a full spin (which is staying stalled, spinning at stall speed -speed not increasing, until forward stick), while the 152 will develop a spiraling dive, which
looks & feels like a spin to the uninitiated.
The spiraling dive will rapidly build speed until power is reduced and back elevator is applied.
The Cub's vertical descent will be much slower, giving the uninitiated more time to scream and jerk around on the controls until it straightens out.
The 152's vertical descent is much more rapid, giving the uninitiated less time to react, and if reaction is delayed much, the airspeed will rip off the wings, or the RPM will blow out the engine, whichever comes first before impact.
To the uninitiated, who may freeze and panic, a 'modern' airplane is just as dangerous as the older ones as far as stall spin control. Rolling upside down for the very first time is an amazing experience and should be experienced with a spin instructor.
The reason they stopped requiring spin training was political.
Like the reason they stopped requiring multi-engine solo time, or the commercial long x/c to be solo, and so on.
These are not training considerations, they are insurance money driven.
The reason there were so many stall/spin accidents back then is because we all had to go out and buzz our girlfriend(s)'s house.
and Mom and Dad.
and that snotty kid that thinks he's so great.
Yeeayah, lookit me, now.
WHAM!