See, I don't do it that way. Points as a selection set on their own layers is just not something that I ever desired. I build their point groups by descriptor in the Point Group Manager. Whenever I need them I simply Draw locate Points by Point Group and let them come in on theit PNT* layers, do what I need to do and then erase the points from the drawing. The point groups stay with the drawing.
You can take someone else's drawing that has the points in it, open a new crd file and update the crd file from the drawing. Once you have the new crd file, you can create the point groups via the Point Group Manager, or you can open a new drawing and run the crd file through your F2F set-up to create the point groups. F2F is ALWAYS an option.
Just another example of the fact that there are at least 17 ways to skin a cat. If you are into that.