I'm not finding a great ELI5 of the electrocaloric or magnetocaloric effects. Specifically, the IEEE article doesn't explain how shuffling the generated heat aw

I'm not finding a great ELI5 of the electrocaloric or magnetocaloric effects. Specifically, the IEEE article doesn't explain how shuffling the generated heat away from the electrocaloric material results in a net cooling effect. If one tried that with a thermoelectric element, it wouldn't work, because when it was shut off, it would just cool down to ambient temperature. Is it correct to say that they're analogous to gases changing temperature as the pressure of the gas changes? i.e. not a continuous generation of temperature change, but a one-shot change between two temperatures that's dependent on the outside force (pressure/electrical/magnetic/etc.) and some inherent capacity of the medium? That feels like the only way one could take away the resulting heat, remove the outside force, and have the element end up cooling down to a lower temperature than it started out, but I am not a physicist.