You can try "Local Storage On any item get". Inside this event extract the ID, for example with the tokenat expression:
Set id to int(tokenat(LocalStorage.Key, 1, "_"))
And then pick the object instance with this ID.
I don't know if this event will be triggered for each key separately though.. You will need to test.
Alternatively, you can put all values into an array and save the entire array in LocalStorage as one key.