At first, I was gonna replay the same thing as Fedca as you dont use the "On Item Set" or "Wait for previous actions" when you save at the end of the layout but your picture shows that the Local storage has the Array Json saved so that's why I thought could be something else.
You can do a quick test since the Local storage has the data:
1-Create an empty Layout + Attach a new empty Event-Sheet
2-Add a text box
3-Add these events:
4-Preview directly into that new layout
See if it will print the data from the local storage into the text box
If it prints the Data then the problem must be something else, if not then it could be the data corrupted, delete the key and save it again using the methods I mention above.