IMHO we have to distinguish the NEC definition of 'parallel conductors' from other forms of parallel.
The conductors are not 'parallel' per the NEC strict definition of 'parallel conductors' specifically because they don't go from one solid electrical connection to another. The NEC definition is pretty much about a 'wire' formed from smaller wires, and if some device interrupts the smaller wires than you don't have a 'parallel conductor'.
But they are clearly electrically in parallel. Current flows from the breaker lug, splits to take one of 2 paths, goes through the fuses and then the wire, and joins back up at the next lug. It then goes through the load, splits because you have 3 phases, hits the next load lug, splits to take one of 2 paths, goes through the fuses, and then ends up on a breaker lug.
Is this a good practice? I don't know. It looks very much akin to 'cable limiters' or 'limiting lugs' that are intended to isolate parallel segments in the event of short circuit; but those are ordinary fuses that would blow on overload or short circuit. The breaker is an 800A breaker, the fuses are 150A fuses.... If you had a 400A overload on that setup I'd expect one fuse to blow and the second one to follow quickly.