Honestly, LinkedIn wasn't providing me much utility anyway. Recruiter spam plus the occasional question from an ex-cow-orker who could find me with a Google search anyway.
It would be a harder choice if the business in question were providing a more valuable service. If I were a recruiter, or a freelancer who was constantly looking for jobs, then it would be harder to dump LinkedIn. I'd like to think I'd do it anyway on principle, though.