Check out the loop current flow in the Gulf and tell me how water from the Mississippi can make it's way to Port Isabel when the flow south of Aransas is northbound.
The Loop Current
sorry for the armchair analysis but your own pic showing the loop current has arrows moving towards the west which is south Texas.
Generally, much of the river water discharged into the northern Gulf of Mexico by the Mississippi and Atchafalaya Rivers moves westward along the Louisiana and Texas coasts, driven primarily by the prevailing easterly winds. Freshwater from these rivers has been observed as far as Port Aransas, Tex., 800 km from the Mississippi River delta.
And no, this is not talking about subsurface currents.
Layne