see this
battleaxe no fling
sword no fling
bat has high fling chance for smaller foes, but there is a small chance that it will instead fling smaller targets significantly farther, or stunning larger targets
mace does big damage and has a chance to cause a speed debuff to target, because being hit in leg, head, or chest tends to reduce your ability to get away, ya'know? (if this isn't good enough to compete with bat, maybe make it resist Scareware scream because of how tightly it is grasped or something? idk)
more probably never i'm lazy sfgfhbsd