Pop Century, the three All Stars resorts, and Caribbean Beach Resort are the closest to WWoS. Unless things have changed in the past few months, the ONLY Disney Transport bus service to WWoS is to/from Disney's Hollywood Studios, NOT from Downtown Disney.
It is very common for CMs at the Disney Reservation Center to give incorrect information about things that are not a specific part of their job. They are experts in resort reservations, park tickets, and dining reservations. Sadly, they really can't be relied upon for other info, and even more sadly, there really is no place else to call for general WDW info.