Luckily I’m not American, but I’ve never seen one of these contraptions that didn’t spin freely (and most of the ones I’ve seen spin freely and dangle all over the place, since the cap is tethered to the ring with a flexible strip of plastic).
It’s a weight attached to a ring placed around a cylinder, after all. It’s bound to spin freely, it’s inherent to the design.
Y’know that physics principle called the lever principle, or principle of moment…?
Thing is, if you grab a bottle by the neck and try to tilt it, you have to deal with the whole momentum / mass of the bottle, which is a significant amount of torque on your wrist, especially if you’re awkwardly trying to hold a cap that’s clearly not designed to be held this way at the same time.
If you instead violently rip the cap out in an entirely justified fit of righteous rage and grab the bottle by it’s center of mass, as normal people do and have done since bottles have existed (well, except for the cap bit; that shit is rather new), you can effortlessly spin it to whatever angle you want, with perfect control all the way.
Of course you can always hold it with two hands, which might be what you meant, but that’s a rather stupid waste of a free hand when most bottles are designed to be holdable with one single hand.