There are still many stall/spin accidents
There are also still many CFIT accidents by VFR PPL's in IMC.
As well as Fuel Exhaustion accidents.
And stuffed up landings and approaches.
A very wise man once said "Aviation is as safe as you (the PIC) make it!"
Some people I know really want to be the best pilots they can, they want to control their aircraft as well and as precisely as possible. These guys usually take extra training (e.g. spin training) once they have their licences.
Others see the aircraft as a tool, or as a car that can fly. They may not pursue extra training because that is not necessarily where their interests lie.
Neither is definitively safer - it depends on the inividual.
To quote another hackneyed phrase "The aircraft will never have an accident unless the PIC directs it too"
It depends on the bloke up the pointy end of the aircraft - no amount of training will make some pilots safe.
Grade 3