Looking into the code it seems that the storage options added w/ this mod don't extend LockableObject (com.github.fabricservertools.htm.api.LockableObject) which is required by Hey That's Mine (a storage locking server mod). Extended Storage, another storage mod seems to have done it (QuiltServerTools/HeyThatsMine#16) like this.

Is there any way this mod could implement this functionality? Thanks!

Sure! I can look into that!