[MD Longhorn]

You should have simply stuck with "She had control at the time of the out." And if he asked, "did she bobble on the transfer", say, "that's not relevant to this play but I did not see that, I was moving to my possible play at third after the out was secured at first"... or maybe something less wordy.

But as to your actual question, YES, you (if you are UIC, and not simply PU) have the responsibility to fix a known mistaken rule interpretation. If you don't have a designated UIC or Crew Chief (not all areas do) for the game, your rules argument is simply your interp against his ... and while we all know, here, that your interp is right --- on the field how do you know who is right when 2 people simply have 2 differing interpretations of a rule (one is right, one is wrong ... but the PU is not right by definition).