I agree with this.
There's a kind of inertia as well. If a good culture exists, the product on the field can go through a dry spell and everything survives until the next season.
If the culture has intentionally been dismantled, and the play is also poor/radically mediocre, there's less energy or incentive to put in the necessary work to rebuild the gameday experience (even assuming that there are no artificial and intentional obstacles to rebuilding).