Gee, I must have missed something... are you saying that if there is an unbalanced load on a wye distribution there is no current in the neutral?
It depends. There are several possibilities.
1) Primary in wye, secondary in delta: unbalanced 3 phase load on delta secondary, - negligible neutral current. The primary can carry 3 or 4 wires, & stay balanced. Neutral not needed even if load is severely unbalanced.
2) Primary in wye, secondary in wye, tertiary in delta: unbalanced 3 phase load on wye secondary, - negligible current in primary neutral. The neutral wire can be opened & the 3 phase voltages stay balanced even with severe load current unbalance.
3) Primary in wye, secondary in wye, 3 single phase units ganged for 3 phase operation or a single 3 phase shell type construction (core), unbalanced 3 phase load on wye secondary, - neutral current is substantial, & neutral wire is necessary for the 3 phase voltages to remain balanced when currents are unbalanced. This is the only configuration where a 4th wire, i.e. a neutral, in the wye primary is mandatory for phase balance.
4) Primary in wye, secondary in wye, single 3 phase core type construction (3-legged E core with windings on each leg), unbalanced 3 phase load on wye secondary, - negligible neutral current. The 3 legged E core requires no primary neutral to stay balanced. A Y-Y configuration without a tertiary or any delta whatsoever, stays balanced without a primary neutral even when secondary load current is severely unbalanced.
The only "problem" configuration which presents balance issues, is the Y-Y, no tertiary, built with 3 single transformer units interconnected for 3 phase operation, as well as a 3 phase shell type unit. To maintain balance, the neutral must carry significant current.
With a 3 phase "core type" transformer, a Y-Y without a tertiary can support unbalanced secondary load currents without a primary neutral.
With any type of construction, a delta secondary, or a Y-Y with delta tertiary assures balanced 3 phase voltages even with very unbalanced secondary load currents without the need for a primary neutral.
Hopefully I have explained this clearly. I can elaborate if needed. BR.
Claude