Structure is just another vacuous, meaningless buzzword that fans have latched onto to either help give them hope that things will get better, or help them find excuses for why someone they like isn't doing their job well enough.
Half of them think it means doing exactly what Murtough did and giving the manager everything he wants. The other half think it means the directors running the recruitment, training sessions, doing the coaching, deciding the tactics and philosophy, picking the teams, motivating the squad etc, essentially filling in all the spaces where the manager is failing.