I wonder if someone has tried to try to do a research study to compare the dogs that are outcomes of different schools of training. I imagine it would be hard to define and measure 'desirable' outcomes.
There’s no one training Koehler in high level IPG (IPO/schutzhund) or one of the ring sports.
I’m also not aware of actual LE/Mil doing anything Koehler. They’re all using all four quadrants of the operant conditioning.
It's less obvious for the average person who just wants a well behaved pet.
It's more doable if things are controlled (e.g. take a bunch of German Shepherd puppies given to very experienced trainers at birth), but those circumstances don't necessarily tell you what the "best" method is in a generalizable fashion.