Lower temperature does not guarantee improved storage conditions.
If a standard changes properties ( eg a liquid becomes a solid, some solids precipitate from solution, some headspace gas dissolves in a solution, etc etc ), then the storage conditions may have adversely affected the integrity of the sample. Also, the container may not have been validated for freezer use. I would expect such standards to be labelled as " Do not freeze/refrigerate/etc" but....
For most APIs, freezer temperatures should be acceptable, but you still have to ensure that the supplier has validated the container for those conditions.
My understanding is that you should follow the guidelines for the standard, and if you want to store materials at different conditions, you would be required to show that the changes do not affect the integrity of both the sample and the packaging..
Bruce Hamilton