...but the mains is still connected, just connection to the battery broken?Yes it feels cool when disconnected.
If yes, then it "suggests" that the charger uses "Switched Mode" type of electronics design, available cheaply in chips and is to my mind the best method nowadays!
It is generally around 90% efficiency as a "ballpark" figure, sometimes even better! It wastes only a little power when the battery is fully charged.
regards
Andy