Dehumidifiers use a ton of power though and there is a very large amount of humidity in clothes so it would take a long time for a dehumidifier to do the job. In decent weather it would use far less energy to build an appropriate sized closet and use a fan to pass outdoor air through the clothes vent it to the outside. ..or mount the clothes outdoors.
In the winter the added humidity will always be a PITA to deal with. You are adding humidity to a room and then mechanically removing it and dealing with the defrost in a cold environment such as a basement along the way.
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