I wouldn't be too quick to assume that people would not check with BBB. Besides my internet adventures, I work as a digital marketing manager for a home improvement company. We have an A+ rating on BBB and constantly get referrals from them. In addition, customers often mention that they chose us because of our positive reviews on BBB.
Again, this is all in context. Here I am talking about a brick store, that has physical showrooms, locations, etc...this is not an e-commerce website that sells home improvement tools from a catalogue. All I am saying is that as part of our overall internet marketing strategy, submitting company's info to websites such as BBB or Homestars is great (given you can maintain a positive profile).
Having said that, I did own an ecommerce website (furniture) that I registered on BBB. Within a week from the registration, I had 4 negative reviews. People said they never got their items, the company was a fraud, etc...I can only imagine those were fake reviews, because at the times we had no such complaints. The reason I submitted it to BBB, is because according to my competitors' analysis, the big shots were there.
IMO no review website can hurt your business if you maintain a positive profile.