Fix a point horizontally and set up a Galileo pendulum like interaction on both sides simultaneous to eliminate earth motion (does it now do the twist) and you will get the same results. The real motion of the objects remains present: how can the earth absorb motion when the real motion remains. Why is it that F = ma does not need these far fetched excuses. You protect this flawed application of angular momentum; and the error is obvious; there is no gravitational acceleration, which is needed for angular momentum conservation.
There are merely two numbers needed to determine angular momentum: you only need linear momentum and radius.
In Galileo’s pendulum: The linear velocity of the bob will be the same one millisecond before and one millisecond after the point when the pendulum string comes in contact with the lower pin. For example: both the before and after velocities could be rounded to 2.00 m/sec. For a one kilogram bob; the before and after linear momentum would be 2.00 units.
The length of the radius just before the pendulum string contacts the lower pin might be twenty meters; and then the radius might be only one meter after the string is in contact with the pin.
So: angular momentum = linear momentum * radius: L = mvr: or 1 kg * 2 m/sec * 20 m = 1 kg * 2 m/sec * 1 m. This is not a conserved quantity: the statement is false. Angular momentum works in space for satellites where gravity changes the linear momentum. Angular momentum conservation does not work in the lab.
No they have not found the heat; they do not look for the heat; they don’t even expect to find it. You have too high a view of your people in the world of physics. They can fumble because they have consensus. They require no experiments to support their own concepts.
In events like the Dawn Mission despin; the motion of the tethered mass can be returned to the satellite. This is proof that energy is not conserved by the masses on the end of the tether. This is the argument in the site mentioned; but they need to let you view it.