I think that would be confusing and doesn't do much to help the player understand the distinction between the two. It's true that no suggestion so far is really good and clear, but at the very least, I think "skill types" and "total skills" should not have icons that are too similar. Also, I really like the crosshairs icon for "total skills" -- that one is good and clear, and shouldn't be changed.
My favourite suggestion so far for "skill types" is the three blank panels. No question mark or asterisk; those could lead to confusion or wrong interpretation.