The Better Business Bureau is a private organization with zero power to enforce any agreements or judgments. At most, it was Yelp before the internet.
Next time you have a straightforward 'they're wrong' issue with a company where you're getting outsourced flowcharts for support, try out the bbb. They're great.
Small claims would obviously also work, but that's a major investment in time/bureaucrazy, while a bbb complaint can be completed online in 10 minutes with maybe one or two brief follow-ups, but usually all it is, is them getting in contact with a human who can do things - and for cases like this, they obviously try to make it right.