Who said anything about “no export”? US export and import of LNG, Crude oil and Petroleum products were there when prices were lower and world supply plentiful.
It is likely to be there when supplies and prices return to normal.
So will shipping, i.e. both US export and import will be on foreign flag ships.
Many of them owned by US firm, and/or finance by US banks, institution, equity funds and even US pension funds.