A PITCH is a ball delivered to the batter by the pitcher.

How can you not call a pitcher who is properly engaged with the rubber and
throwing to home not a pitch?

As I said in my initial post above there was very little doubt in anyone's mind
(specifically mine as the PU) what was occurring:

"The pitcher, in a relaxed manner (not his normal windup), threw the ball to the
catcher who was far to the outside (in the LH batters box,) when he caught the
ball. There was no intent to throw a strike or a hitable pitch, he was just
trying to get the ball to the catcher."

I do not believe, had the pitcher been throwing to the batter, that the catcher
would have stood up during the windup, step to his right away from the batter,
catch the ball, then turn to me and state "the last runner did not touch the
plate" and step on the plate with the ball in his possession.