1. A method comprises: receiving, by a set of storage units, a plurality of sets of non-locking write requests from a plurality of computing devices, wherein each set of non-locking write requests includes a set of encoded data slices and a set of slice names, wherein, from set to set of non-locking write requests, the set of slices names are substantially identical; storing, by each storage unit of the set of storage units, an encoded data slice of a respective one of the non-locking write requests of each of the plurality of sets of non-locking write requests; sending, by each storage unit of the set of storage units, a write response regarding the respective one of the non-locking write requests of each of the plurality of sets of non-locking write requests to produce, per storage unit, a group of write responses and wherein, each write response in the group of write responses includes an ordering indication; receiving, by a computing device of the plurality of computing devices, a set of write responses from the set of storage units regarding a corresponding one of the plurality of sets of non-locking write requests; determining, by the computing device, whether a threshold number of write responses of the set of write responses has an expected ordering indication; and when the threshold number of write responses has the expected ordering indication: sending, by the computing device, a set of write finalize requests to the set of storage units; and finalizing storing, by the set of storage units, the set of encoded data slices corresponding to the corresponding one of the plurality of sets of non-locking write requests regardless of the ordering indication of the set of write responses.