Hurricanes can cause upwelling of waters at any time. If future storms pass over previous storms upwelling path, their strength may fall off or they will stop intensifying.Do hurricanes actually put that significant of a dent in the oceans?
A good example of this was Hurricane Eta in 2020. Eta bombed out offshore of Nicaragua and left a cool trail behind. Two weeks later Hurricane Iota tracked over that cooler spot and weakened slightly before landfalling about 15 or so miles north of where Eta made landfall two weeks prior.


