This is where the timer discrepancy comes from. For Barbarians, all battles are fought manually, while for Inferno, only half of them are. This is especially important during the mid-game, when the most challenging battles take place, as that's when you need the most time.
Even with Castle, the creatures kept losing constantly, even though they had more hit points and lower speed than Imps. And Marks also defeat neutral creatures faster than Gogs.
Quick only consistently performs well with Rampart, and even then, only if you don't include Centaurs and Pegasi in the army, and instead use Elves, Dwarves, and Dryads.