I think it's pretty simple that you get better at the things you practice.If you put a little more focus into practicing the things you are weakest at (including mental skillz) then you will improve in everything.
I mostly seem to climb in the 85%-to-100+%-chance-of-success range of my abilities so I don't REALLY know what my upper end is, but I would guess that my onsight level is the same for Squamish and Smith, which could be interpreted to mean I suck at sport climbing , and that level is 5 letters below what I have bothered to hauled my fat ass up on toprope (sport or crack, same number)
non-climbing specific strength training has improved my confidence and power for all types of climbing, though with some coincident sacrifice to technique since I haven't got out cragging a whole lot this year.