In the discussion about reachable nodes in a walk of length 4, the initial hint emphasizes that 30 is an even number. Participants are encouraged to first identify which vertices can be reached in a walk of length 2. From those identified vertices, the next step is to determine which can be reached again in another walk of length 2, effectively creating a total walk of length 4. This methodical approach is crucial for solving the problem accurately. Understanding the relationships between nodes is key to determining their reachability within the specified walk length.