That was not the greatest explanation, as I could see someone reading a potential on both legs and thinking they were both “hot” legs.
All there is before connection is an unreferenced difference in potential. How this appears on a meter, (measured to ground)if the primary side is connected would depend on how or where the system is grounded on the primary side. There will be 230 volts between them, however, the voltage from each leg to ground could (and probably will) be different.
You decide which leg is neutral, however, it is usually selected based on the grounding of the primary side. This is to keep the phasing the same. If it is reversed the phasing is 180 deg out. Most of the time it is only important if paralleling or using alternate sources to feed a load.