Sorry but that's completely wrong. The red cable is + and the black cable is -. It has nothing to do with left or right, these are a separate pair of cables. If you twist + and - the membrane of your speaker goes inwards rather than outwards, potentially destroying your speaker and resulting in a crappy sound.
It can't destroy your speaker, the cone site in the middle of the range of movement at rest, if you reverse the polarity the cone just starts moving in the opposite direction initially so instead of going forwards backwards forwards, it goes backwards forwards backwards.