I've thought about the same thing, but for a different reason.
Around the midwestern states they have a whole shit load of those wind turbines for electricity generation.
And on off peak hours a good number of these turbines will be shut down. As ususal with our grid it doesn't "store" energy it just only makes what it needs.
But what if they could use the turbine to do something else? like pressurize large air storage tanks and possibly even use that air to turn the generator in low wind conditions etc?
The only thing that really kills my idea, is as I understand it the typical air motors are rather low efficiency. But many air motors run backwards are compressors, or rather just the one way valves flipped routing become compressors, so it could be one motor/compressor unit.