I believe you are confusing the gulf loop current with the atlantic gulf stream current. The gulf loop current is quite small and insignificant when it enters the atlantic ocean -like a fraction of a percent of the gulf stream current. The gulf loop current is no warmer than the gulf stream current. Ocean currents fluctuate with the climate. Both currents are cooler and weaker right now because the climate is cooler. Although they affect large areas as you pointed out, they are like el nino in that they are secondary effects of overall climate.
South America had a very cold, record breaking winter last year and is not affected by the gulf currents. Similarly, the gulf currents are not the cause of the Northern hemisphere’s cold winter. They just aren’t helping to moderate it as much as they do in warmer years because they’re also cooler.
You and your damn facts and logic.