I have two blankets I really like and use frequently, but I don’t like having on my bed (due to them being too warm). If I had them on the floor overnight when I don’t need them, would it damage the blankets?
Basement is always chilly (below 70F), even during summer, so I have good reason to believe it is climate controlled.
If you do that they might catch a lot of dust. The floor is usually where all the dust in a room accumulates.