Yes, to some extent. Obviously it was a cost. If it made a good uncompetitive to sell in the US, it wasn't sold. If the seller wanted to accept a smaller profit margin, he could absorb some of the cost to remain competitive.
Now explain how the south, buying a portion of imports proportional to their population, paid a wildly disproportionate amount of the tariff.
“Now explain how the south, buying a portion of imports proportional to their population, paid a wildly disproportionate amount of the tariff.”
Would you rephrase that question so that the premise does not override any reasonable answer.