I wear my gripper while I’m sweeping, which makes it a bit easier, and that does seem to be more common in four-person curling. Mixed doubles players often sweep their own shot, which ups the coordination a bit.
That’s old school. You still see a few players do it that way, but it’s much more common to shift your body weight back-and-forth and leave the stone flat on the ice. That’s the way I teach it.
I’m a curler, and I think I’d give the nod to basketball as requiring more coordination. Dribbling a ball while running, footsteps and bounces not in sync, and change speed and direction, is tougher to me than sliding and sweeping.