The glass will trap too much heat against the entry door and possibly damage it. Storm doors for patio doors are hard to find but they are available. High quality storm doors and windows use low-e glass. Wooden storm doors require more maintenance than the other types. Metal-framed storm doors and windows might have foam insulation in their frames.
Some doors have self-storing pockets for the glass in summer, and an insect screen for the winter.
Some storm windows have fixed, full length screens and glass panels that slide out of the way for ventilation. Some are easily removed for cleaning, others are not. All of these features add some convenience and higher costs. Weatherstripping Replacement weatherstripping is often available at most building supply and hardware stores. When selecting weatherstripping, you should consider the durability of the material as well as what would work best for what you are weatherstripping.