An inactive station will not produce any taxable income... but that is a moot point in this discussion since it is unlikely that 1250 was making a profit anyway.
So the direct taxes paid would be ongoing property taxes and the like. Add in business licenses and permits, which are a form of taxation, and the direct tax burden is fairly small. Since all of that kind of tax payments are deductible as a business expense, the net effect is to lower Disney's overall income taxes... but by such a small amount as to be insignificant.
The other issue is in regards to amortization and depreciation. It would be assumed that upon turning off a station, Disney would take an impairment charge on the asset value (which is mostly intangible with a radio station) as the asset is revalued. This has been done in recent years by many broadcasters, particularly for AM stations and results in what might be called "fast tracked depreciation" which ends up as resulting in lower tax liability while not affecting EBITDA at all.
Assets are depreciated over time, and are considered to be pre-tax expenses in each year of the total asset life. If an asset is sold below its book value (purchase price less accumulated depreciation) then the difference is expensed, reducing tax liability.
Keeping a station silent is sorta' like having a rental property that is not occupied. You still pay for light, water, property taxes, upkeep, insurance, etc., but derive no income. You can deduct all the costs of maintaining the property from your income tax return, but the property is costing you money every month and you only save a portion of that due to lower overall taxes on the enterprise.