Correct. Vatican was correct!
It goes even further.
Physics is based upon metaphysics.
This is precisely what dimensional analysis says.
We cannot make physics of time, space and mass etc,
namely most basic (prime) quantities.
We cannot define metaphysical concepts using physical concepts.
This is where things went wrong with contemporary physics
QM defines time from momentum.
Relativity theory defines time and space using speed and acceleration.
This is all nonsense. All of this led us to inconsistency.