My past experience with these things in apartments and condos was that yes, there is heat coming out of them even when the thermostat is set to zero. I found the only way I could stop it from overheating my place was to physically shut off the water valve (but that's generally frowned on by building managers). If you are in an apartment and not in the top floor, you could still have someone else's hot water pipes running up inside your wall and heating your place (I found out the hard way that building code doesn't even require them to be insulated), and there's not much you can do about that.
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