That makes sense if Lead and Trail have a higher frequency of calls than the Center official. Going tableside would make the Lead and Trail officials constantly switch on fouls, unless the tableside official was the Center, or a rotation causes Center opposite to become Trail opposite. These factors would conspire to keep C as C for some time. With opposite mechanics, the calling official becomes the Center opposite (unless the subsequent throwin is on the opposite side), with the opposite official going tableside. If L and T are usually tableside, this results in everybody being in every position more often than if the crew were to switch tableside.
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