Reciprocating means that the handle is actually attached to the bolt directly. It means that you can use the handle to slowly close the bolt if desired but yet also push the handle to close the bolt completely.
I think right-side reciprocating handles are the way to go for a hunting gun.
I think left-side (such as shown above) are the way to go on a fighting gun.
Actually on a reciprocating the handle is attached to the bolt carrier not the bolt, I agree with the rest of your post, I have right and left side charge uppers and much prefer the right side handle for coyote hunting if you are a right handed shooter
