Actually, happily, there is NO wrong answer here! BBB and SWG are totally compatible with each other and, to me, the question is meaningless.

As a BBBer, I don't have an SWG, can't justify one, but I think they are just great. Plus, if you NEED to shock your pool in a hurry, you just add bleach with NO fear of side effects. As for the other two Bs, Borax and Baking soda, they, too are compatible, but SWGs tend to push pH up so you won't use Borax much.

It's a personal choice and both are good!