mikebran,
You are, of course, free to refer to said runner as you like.
FYI, the case play I referenced in my earlier thread contains (my emphasis):
Quote:
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...The most recent batter not on base may serve as a courtesy runner for the injured B1...
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So, in the unlikely event this were to occur in a game I was officiating, I think I would use the term "courtesy runner".
JM