My understanding is that they did not have that ability during WWII. The designers did not see any reason to build the capability to turn the blade edge straight into the wind.
Your partially correct, actually my response above was also a bit inaccurate.
All constant speed propellers can feather, however not all can feather completely. When your engine stops you typically want to do two thing to decrease your drag, feather the prop (so it would have minimal wind resistance) and stop the blades as it takes energy to rotate them (and your engine and they are connected to it), that energy is translated into drag.
On a multi-engine aircraft you normally have full-feathering props. When you loose one engine you lost 50% of your power and you're drag also significantly increases. Quite often that 2nd engine has enough power to keep you in the air, but because of the extra drag created by the failed engine your remaining engine can not keep you airborne. So what you do is reduce the drag by as much as possible by feather the prop and stopping the blades.
Now on a single engine aircraft when you loose your engine your screwed, at that point all you care about is increasing your glide distance. All the extra metal that would fully feather your prop is heavy and when gliding you want to reduce the weight by as much as possible so single engine aircraft typically don't have fully-feathering props. Now technically you would still want to feather your prop as much as possible but because in that position it will be windmilling it would still be creating a lot of drag. Letting your prop windmill is one of the worst thing you can do (as I explained above) therefor most aircraft manufacturers design their governors to move the prop to the opposite of feathering position. This will significantly help you stop the prop. When you don't have the option to fully feather the prop keeping the blades in an unfeathered position and stationary is much better than keeping them in an almost feathered positioned and windmilling.
Some aircraft manufacturers still give the single engine aircraft the ability to fully feather the prop, I believe Beechcraft did that on the T-6. So it's debatable on what is better, but most single engine aircraft can not fully-feather their prop.