3-phase systems can fail in many ways and be tricky to diagnose.
If you mean to replicate that circuit so it appears three times, once for each phase, it will not work reliably.
There are several problems, the first is that it relies on a neutral wire which may not always be present, more importantly though, consider what happens in real life if one phase fails. If the failure is towards the source, the phase will not be missing where you measure it because any 3-phase device 'downstream' will conduct some voltage back up from the load. The exact phase of that signal is unpredictable but it could still be 120 degrees from the other two and therefore seem OK.
The more reliable way is to sense the current as well as the voltage and phase. Under most circumstances the current and/or voltage will be significantly different between phases if a fault occurs. To do that you need a current transformer on each line and something to measure voltage instead of just detecting its presence.
Brian.