I think it runs the cooling pump any time any charging is underway. So yeah, generally I agree that lower charge rates are good, but I think there are limits to it. The pump having to run longer is my main concern.
I hear your concern so I did a search... seems at 120v 15a charging, the pump does not need to run.So, 240v 5a (while would be the wattage equivalent of 120v 10a), it should also not run. YMMV.
How many miles per hour for a charge on a 110 volt outlet for Model S60