My point is that the bergs are traveling away from the gulf, not toward it.
The Gulf Stream originates at Mexico’s southern border, and travels eastward and then northward out of the gulf.
The gulf stream might originate in the gulf but the bergs originate in Greenland (north) and flow SOUTH in the southerly flow of the Gulf Stream. The Gulf Stream is a circuit, not a one-way flow. The bergs do not calve and then flow North to the Arctic ocean. They flow on the southerly circuit and melt as they float south into warmer waters.