The wing commander commands the small group of fighters, and the squadron commanders direct a larger group made up of wings, when large groups of fighters are used the squad commander is the wing commander, of course it would be a smaller squad not the 84 ships or so in Megacarrier squads.
I guess it depends on how you use the word wing and what you are refering to, yes they are different wings.
The fighter wing commander, sometimes the cag in lighter ships can send wings on patrols and strikes, escorts, he thus commands the entire fighter wing, which is all the fighters made up of smaller wings.
I think of it as a giant bird formation, which can have one big formation made up of smaller formations.
The big bomber formations had a lead plane, which dropped its bombs, then planes behind it dropped their bombs in turn. The seemed to fly in a similar groups with small clusters to protect each other from fighters.
All the clusters together made up the bomber wing.
Does that make sense or does that confuse?