But there will not be parasitic circulating currents.
If you have unbalanced currents from line to line on a delta it does *not* cause current in the neutral of a wye primary.
If you put a single line to line load on one side of a delta secondary it will be fed by both the immediately adjacent coil and the other two coils in series. The result is current in all three hot wires of the wye primary and *no* current in the wye neutral.
If you take a single phase transformer rather than three pots or a common core three phase pot, then you must, of course, have current in two wires on the primary side.