I haven't yet checked into who will be exporting from the US right away but I think I could make a good guess just based on this from the above article :
But Exxon Mobil, which last year was ranked by the Fortune 500 as the nation's most profitable company, is representative of Big Oil's slow evolution on climate change policy.
Regards
Well I guess that if there is a tax, you have to pay it.
Perhaps oil companies gave up their political resistance to the tax as quid pro quo for permission to export oil. That would be a shame.
What comes out load and clear in the NYT’s article is Koch, Koch, Koch. What a trashy newspaper.