I don't think these party trick responses answer the question at all.
1. Assuming the jug or bottle is filled with air, not a liquid, the temperature, RH and air pressure inside an open jug or a bottle are the same as those in the room, so there is no reason for air to move anywhere taking heat with it.
2. In the case of social housing during the winter, we might hope that the indoor temps would be higher than outdoors so the moment you open the door, surely the heat will flow by simple convection out of the door, being replaced by cold air coming in at the bottom?
3. If not, then I think we'd better start again on modelling climate because isn't this warm air above cold/warm water above cold what it's all about?
Please don't just tell me again that I am wrong, explain WHAT is happening and WHY it does not obey the school physics I learned!
Happy christmas all