Our laundry room is on the second floor of the house with a southern and western exposure.
In summer it’s hot due to its position . . .
the dryer . . .
and the door to the attic.
In winter it’s drafty for exactly the same reasons.
I think the door that used to go out to our back porch before we built the conservatory might fit the opening perfectly.
The main problem I can foresee is that the light switch will be behind the door when it’s open.
The benefit is that the second floor will stay warmer in winter and cooler in summer and laundry clutter will be hidden behind the solid bottom part of the door.
Have you ever tried hanging a door? Tips?