Load transition from side to side enables micro-rests that go further than one would think, especially for the grip. The blood flow resuming and the myoglobin oxygen reloading are like magic. You will be able to swing a heavy kettlebell for a lot more reps than you thought you could.
It also feels awesome: the cross loading shifting side to side feels like a series of board shattering punches. Full contact karatekas compare hand-to-hand hard style swings to a meditative practice of kihon tsuki.
Power to you!