Thanks for the highly informative link, but no, not 72%.
Your table shows 1860 exports as:
But even that number 61% is suspect, since tobacco is the number two item and it came mostly from Union states, none from the Deep South in 1860.
Other significant items include cotton cloth, which we cannot know the original sources of.
So a slightly more accurate number using this data would be 54% ($204 divided by $373 =54%).
But even that number is too high, since this source (page 605) shows total 1860 exports as not $373 million but $400 million, including specie.
That makes Deep South produced products just 51% at most.
Finally, it's hugely important to notice just what happened in 1861:
Don't forget that the economic genius davis ordered 2.5 million bales of cotton burned in an insane attempt to coerce the Brits into forming an alliance with the insurrectionists. And we shake our heads when blacks burn their own neighborhoods in order to "show them who's boss".