I was like this in little league too. I pitched when I was 10, 11, and 12. I'd have days where I would hold the opposing team to 2 or less runs for the entire 6 innings and some scrub who drove in our meaningless 10th run would get the game ball...because it was his first hit in 3 games. Boy was I pissed.
Of course, I quit baseball when I was 13 and picked up non-team sports. I hated sharing glory, and I hated sharing blame as well.