We have to import oil every day to meet demand. So I don't believe this for a minute.
Considering that the Saudis have double crossed OPEC by pumping oil to depress prices, we might as well help them out. The more we do to achieve independence by throwing off the Saudi yoke, the better. It helps us by having additional outlets for our oil surplus to our needs. That supports activity in the oil patch.
The oil export ban creates an artificially high oil price for oil sold on the world stage, and an artificially low oil price for oil sold in the US.
There is a price difference between the oil we import and the oil we produce in the US, with the oil we produce being cheaper. There is a bottleneck in the US with the crude we produce, so our crude sells at a discount to the world crude price.
You need to know that a lot of refineries are set up to refine imported heavy crude. Refineries are converting to be able to refine more light sweet crude, but the process takes time.
Dropping the oil export ban would do two things-
Increase the price of our domestic crude creating or saving jobs. Then it would drop the price of imported crude as world supply would increase.
If Boehner said it you know it's not true.