Before the digital cloud storage era, a person's physical documents were accessible to the person's successors, family, etc, and a person could specify in his/her will what would happen to those documents after the person's death. For example, what documents could be made accessible to a certain person, or released after how many years, etc. ¬†
Today, a person might use the "documents in the cloud" in different ways, depending on the cloud service provider and the person's needs. But regardless of whether these documents are significant in financial terms, medical terms, biographical terms, etc, I would suggest that cloud document service providers allow each paying subscriber to also specify the fate of his/her documents in the case of the person's death (similar to a will).