Marc Nelson Jr.
I'll defer to Mr. Miranda because each chit has a note in the rules saying where it goes after it's used. It comes down to what "discard without effect" means on Dalton's card. Most chits drawn are removed from the cup when they are discarded after use. The "Rifles Overheat" chit is returned to the cup after use. If you want me to say that the "Rifles Overheat" chit is discarded and not returned to the cup by using Dalton's card, I'm not going to be the one to say it because that would be a gamey way to get that chit out of the cup when I know it's supposed to be in the cup per the rules.
If you "defer to the rules," then you would have to disregard all of the Heroic Abilities. Breaking the rules is what they do.