In one embodiment, a method comprises receiving, by a network device in a deterministic data network comprising deterministic segments, a data packet comprising a packet header having a bit index, each bit in the bit index associated with a corresponding one of the deterministic segments; the network device identifying, from the bit index, a first bit for a corresponding first deterministic segment and a second bit for a corresponding second deterministic segment, wherein the network device is an endpoint for transmitting deterministic traffic into each of the first and second deterministic segments; the network device selectively executing a replication operation of the data packet for transmission of a replicated data packet into each of the first and second deterministic segments, based on the network device detecting the corresponding first and second bits set for replication.