The answer to that question is usually no, unless you are looking to soundproof the rooms, as it is not a wall that loses heat to the outside. Draught proofing is slightly different. Draughts between rooms can make you feel colder, even if the air itself isn't colder.

Are draft excluders effective?

Draught-proofing is one of the cheapest and most effective ways to save energy – and money – in any type of building. Controlled ventilation helps reduce condensation and damp, by letting fresh air in when needed. However, draughts are uncontrolled: they let in too much cold air and waste too much heat.

How much money do Draught excluders save?

Potential savings from installing draught proofing

It is estimated that installing draught proofing measures in an average UK home could save the household £60 per year on heating bills.