Was Homer Wrong?

[golf_sceptic]

Centrifugal force is a convenient term describing an effective force present on objects in a rotating reference frame (an object undergoing centripetal acceleration).

Yes, but everything gets a whole lot harder once you start using non-inertial frames of reference. Bear in mind also that in a non-inertial frame of reference such as that viewed using a camera attached to the clubhead, the centrifugal force neatly balances the centripetal force and the clubhead remains still in the camera's eye as does the centre of the motion. Only the objects not attached to the clubhead appear to be flung outward. Again, the clubhead is not accelerated outward by centrifugal force in that or any other useful frame of reference because centrifugal force does not act on the clubhead.

The "throw out" effect is real. It is not, however, created by centrifugal force.

It is what our bodies, arms, and hands "feel" as the pulling away from the center of rotation during a swing.

Yes. 100% correct. The reaction to our pulling inward (centripetal force) is the outward (or centrifugal) force that we feel and it acts on our bodies (not on the clubhead).

This concept and feel can be used as an aid to creating angular velocity.

Nope. As you so clearly pointed out, the centrifugal force acts on us not the clubhead.

That is all that is claimed within TGM to my knowledge. Angular velocity and acceleration is what ultimately matters.

Correct. The TGM concept of centrifugal force is wrong. Angular velocity and acceleration are paramount, but that is a topic for another day!