Western boundary currents (WBCs) are critical to Earth's climate. In the last decade, mesoscale air-sea interactions emerged as an important factor of WBC dynamics. Recently, coupled models including the feedback of surface oceanic currents to the atmosphere confirmed the existence of a physical process called eddy killing, which may correct long-lasting biases in the representation of WBCs by providing an unambiguous energy sink mechanism. Using ocean-atmosphere coupled simulations of the Gulf Stream and the Agulhas Current, we show that eddy killing reduces the eddy-mean flow interaction (both forward and inverse cascades) and leads to more realistic solutions. Model and data fluxes are in good agreement when the same coarse grid is used ...