1. A computer-implemented method comprising: receiving a point-in-time copy command for a virtual volume exposed within a storage virtualization layer of a storage system; providing the point-in-time copy command to one or more data arrays underlying the storage virtualization layer; associating the virtual volume with physical storage within the one or more data arrays, thus defining associated physical storage; identifying a level of high-availability for the associated physical storage, wherein the level of high-availability is indicative of a redundancy technique used for the associated physical storage; and defining a high-availability copy by generating a copy of the associated physical storage that has the same level of high-availability, wherein the high-availability copy includes a differential point in time copy of the virtual volume including data that has changed since a previous copy command.