When has this happened? Everyone initially uses the official forecast from the National Hurricane Center. I have never seen TWC deviate from that. I don't follow Accuweather so I can't comment on their service. I do believe that the on-air forecasters may talk about different scenarios that could alter the projected path of the storm, however, if you read the forecast discussions put out by NHC, they address the same issues. TWC only re-hashes info put out by NWS or NHC.
Accuweather is well know for sensationalizing “what if” scenarios that are ludicrous. Such dramatized “possibilities” increase their viewer share when they include large metro areas which may have, at best, a remote probability of minimal effects.