<< Through Points is a much better way to draw these curves than Control Points!

It's always "Control Points" ! ;)

If you want "Control Points" on the curve itself Press Tab and write "Rebuild" and input number Points you want!
(depending of the nature of your curve)

If now you take a "Point" of this new "rebuild curve" and move it you see that is always a "Contol Point"! ;)