At a first cache memory affiliated with a first processor core, an exclusive memory access operation is received via an interconnect fabric coupling the first cache memory to second and third cache memories respectively affiliated with second and third processor cores. The exclusive memory access operation specifies a target address. In response to receipt of the exclusive memory access operation, the first cache memory detects presence or absence of a source indication indicating that the exclusive memory access operation originated from the second cache memory to which the first cache memory is coupled by a private communication network to which the third cache memory is not coupled. In response to detecting presence of the source indication, a coherency state field of the first cache memory that is associated with the target address is updated to a first data-invalid state. In response to detecting absence of the source indication, the coherency state field of the first cache memory is updated to a different second data-invalid state.