It's not so much about avoiding arguments as about what do you do when what you saw, and your mental replay, says "tie?" You have to have some way of breaking the tie in order to make the call. We don't have benefit of instant replay.
Sure, with a one umpire game you will miss some of the goings-on, but for most plays, I can see enough to make the judgment.
And, it's in the final analysis, judgment.
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Tom
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