In at least one embodiment, multiple controllers implement collaborative management of a non-volatile hierarchical storage system. In the storage system, a first controller receives health reports from at least second and third controllers regarding health of multiple storage units of physical storage under control of the second and third controllers and maintains a health database of information received in the health reports. In response to a health event and based on information in the health database, the first controller modifies logical-to-physical address mappings of one or more of multiple storage units under its control such that data having greater access heat is mapped to relatively healthier storage units and data having less access heat is mapped to relatively less healthy storage units. Thereafter, the first controller directs write requests to storage units under its control in accordance with the modified logical-to-physical address mappings.