This actually did happen historically with Hoplite phalanx.I always wondered how phalanx lines didn't just wheel round anti-clockwise if all the strongest units were on each others' right end of the line...
Even exacerbated by the guys to the left edging to the right for cover from their neighbours shield often causing the stronger Right flank to also have an overlap.
There is a particular famous battle that I can't currently remember the name of where the clashing phalanxes did a full 180 rotation during battle.
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