What you experienced has little to do with "top heaviness." You say that you downshifted right before you did an emergency lane change maneuver? When you slowed down/downshifted you shifted the weight forward off of the rear wheels. I promise that if you had kept in the throttle to maintain your speed (held even at 80) then made the same move the car would have felt much more stable because it would have left the mass more equal on all four corners.
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