You are the master of the irrelevant. All that cotton was shipped on New York controlled ships and under New York controlled contracts.
You assertion on this, as with everything else, is not supported by data, only by your own pro-Confederate mythology.
The real truth is that cotton producers chose whichever shippers they wished, based on various factors, including price and availability.
Nothing prevented them from using Southern owned & operated ships, and shipping directly to their European customers.