well, lightly loaded means the mangnitinzg current will be appearant as a major component of primary current (delta side, by default), this current usually contains a high thrid harmonic content, but this third harmonic current is a zero sequence one and can never run beyond a delta winding.
On wye side, load should dictate the current and accordingly the waveshape.Overvoltage on secondary may cause overfluxing (this is very rare to occure if the tap changer is not operating and the grid voltage is too high!) which have high content of 5th harmonic, not 3rd, and 5th harmonic will pass the delta and run into the grid upsteam causing harmionic issues within nearby loads (note that 5th harmonic will have a negative sequency effect and may well overheat induction motors nearby)