A data processing system includes at least first and second coherency domains, each including at least one processor core and a memory. In response to an initialization operation by a processor core that indicates a target memory block to be initialized, a cache memory in the first coherency domain determines a coherency state of the target memory block with respect to the cache memory. In response to the determination, the cache memory selects a scope of broadcast of an initialization request identifying the target memory block. A narrower scope including the first coherency domain and excluding the second coherency domain is selected in response to a determination of a first coherency state, and a broader scope including the first coherency domain and the second coherency domain is selected in response to a determination of a second coherency state. The cache memory then broadcasts an initialization request with the selected scope. In response to the initialization request, the target memory block is initialized within a memory of the data processing system to an initialization value.