The more directories and aggregators that have the correct business information the better. That way the business will be listed in more places online, and make it easier for people to find it. To see how a business is doing, conducting a citation audit is the best course of action.
Citation listings with incorrect information may be damaging to your local rankings. The more accurate they are the better.
As an example, you might have a contact number listed on one website and a different contact number on another. This is bad for your business. It’s confusing for potential clients and they will not know which of the two are correct contact details. Not forgetting that it may also confuse Google.