Ummm, guys? MN Fisher didn't say it wouldn't work that way, he said for proper circuit breaker protection, it should utilize the circuit's own neutral.
It'll work the way the LDUB suggests, but it's still wrong.
By using a different neutral, he's unbalancing the load, and possibly overloading that "other" neutral wire. We don't know how much amperage is being drawn through that neutral, and by increasing the flow, we could be over-amping that conductor, causing heating and eventual failure. (Possibly fire).
Consider; Circuit A is protected by a 15 amp breaker, and it's a dedicated lighting circuit, so it was wired with 14 gauge wire. Let's assume circuit A is pulling 14 amps at full load.
If you run in circuit B, but use circuit A's neutral to return some of B's load, and it happens to be 2 amps, now you're over-amping that 14 gauge conductor by 1 amp. Remember, there's no breakers on the neutral, so no control for an overload situation on the neutral.
Additionally, there's something known as "inductive heating", for wiring run in metallic conduits. If one runs a single conductor through a metal tube, then runs an A/C current through that conductor, the metal tube will heat up due to the expending and collapsing magnetic fields surrounding the conductor, causing eddy currents in the metal tube. This can lead to a dangerous situation. The effect is there in unbalanced circuits as well, to a lesser degree, but we do not know the LDUB's full situation, so we must advise him toward the correct course of action.
The NFPA and the NEC exists for many reasons.
Roger