Extreme balance

A given persons balance is determined by their center of gravity not exceeding the area of stability. If you draw a line around your feet as they rest on the floor with your feet splayed slightly the shape will be a rough trapezoid. Now if you draw an imaginary line vertically through your center of gravity the dot on the floor would be within that trapezoid. If you lean too far in any given direction and that dot goes outside the border of that trapezoid you are will be unstable to the point of having to "recover" your balance. i.e. put the dot back inside the trapezoid. 

Now You cannot change the length of your feet so the front to back distance that you have to work with is fixed. You can, however, spread your feet out increasing the side to side length of the trapezoid. The height of your CG is just an indicator of how easily that dot can be moved around. Lower harder to move, higher easier to move.

Basically it's about optimizing CG management for a particular action than being at a particular height. 

What is more important is the ability to generate power and transfer it efficiently to the ball without loosing balance. That's the tricky bit.

What I tend to look at more is the acute angle formed by the shoulder, hips and knees. This is where the majority of the power is generated. It also seems to be very symmetrical in the better players. If you draw a horizontal line through the hip the angle of the leg is the mirror opposite of the torso angle. The opening, closing and rotating of that joint system is the primary source of power and control for any given shot imo. Especially the BH. Most important is that one does not have to be particularly low to use it. ML is a prime example.