writes:

But you're watching the ball in a simulator. What's that
got to do with ANY claim about a real life GA plane?

Real-life planes have the same thing.

Watch the ball in a real life plane, (or pay attention to
someone who has actually watched the ball in a
real life plane) and you'll see that autopilots that
can't control the rudder turn in the same way that
a hand-flying pilot turns when he keeps his foot
away from the rudder pedals. Generally speaking,
both will be slightly uncoordinated.

I've already had confirmation that the movement of the ball in the sim matches
the ball in the real thing.