Can center of mass or center of mass reference be used for mating or creating other reference geometry?

I just discovered center of mass point in reference geometry. I am trying to add a center of mass reference point but it does not show up on any menu anywhere that I can find including when I right click on the COM point. What I am really trying to discover is can I use a COM point to create reference geometry with? Example...I want an axis that pierces the COM so that I can rotate a part or assembly around the COM. Another use would be to use the COM to mate with.

Questions:

How can add COM reference point?

Can I use COM points for mating/reference geometry?

SolidworksAssemblies