Comparison of the temperature profiles as a function of height, among Ref, By200 and By800 in black, red and green, respectively. These vertical profiles, and the ones from the following figures, are averaged over one hour of solar time, illustrated in Fig. 2. Horizontal and temporal averages are illustrated with dotted lines, while the envelope indicates ±1 standard deviation in time. We use black arrows to underline the different noteworthy behaviours here; namely, the chromospheric temperature increase as a function of the magnetic amplitude we inject, along with a non-monotonic response at the base of the corona.