Some of "what to call outside your primary" depends on how bad the foul / violation is.
The original poster described the play as "ugly crossover" -- that could mean anything from "awkward" (no call), to "defense did something marginally illegal to cause a violation" (call the defense or pass on both), to "physically held the ball in both hands for a couple of seconds before resuming the dribble" (call it).
The evaluator wasn't (or shouldn't have been) saying "never call a violation not in your area", bur rather "be 110% sure that (a) your partner missed it and (b) it needs to be called."
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