On hot or sunny days the storm panel can be partially opened to vent some of the heat that builds up between the doors.
Heat build up between storm door entry door.
Low e glass will reduce the heat gained.
Adding a storm door particularly a non vented variety to your fiberglass door may actually heighten the chance of damage in particularly hot climates as trapped heat between the two doors.
If your door has a porch or wide overhang and will never get wet then perhaps you would not need a storm door.
A glass storm door could trap heat against an entry door and cause damage if the exterior door gets more than a few hours of direct sun each day.
But i would highly suggest you get one.
On colder days the storm panel can be easily slid into its usual position.
Warping or bowing the entire entry door.
Warping the glass trim on the entry door.
Check the door manufacturer s recommendations if this is a concern.
As you mentioned the problem with full view storm doors is the heat buildup.
They have additional energy benefits as well acting as a buffer from winter temperatures.
Depending on the circumstance the heat that is trapped between the low e storm door and entry door can cause a number of problems including.
Storm doors for patio doors are hard to find but they are available.