I do not know whether it is in your temperament or because of the disease you are suffering from currently that you are making such statements as above but I want to warn you: demeaning a member in a friendly guise or not is against the forum rules.
Offense is like beauty, it is in the mind of the recipient. If it is true, it isn't an offense. If it is not true, then there is nothing to be offended by it....
You are missing the point: it is not the voltage drop but the power loss taking place in all other components ( also due to occasional transformer primary voltage hike besides other factors such as power loss in cables) that is of concern when the transformer is fully loaded by the pole lights.
As at least another poster agreeing with me, it is you who seem to be lacking practical engineering knowledge in determining what is significant to be concerned about and what aspects of the multitude of physical phenomena that are either tangential or insignificant to be concerned about. The first principle in engineering is the ability to distinguish between what has impact on a problem and what are those that can be ignored.
In this case - as I am trying to explain it to you - but feel like banging against my head against a brick wall - the undersized cable(for the distance) would cause a voltage drop that would make the ballast unable to initialize or sustain the arc in an HID fixture. That could be the first or second and all subsequent poles if they are connected in series.
You have repeatedly brought up identically trivial issues on a multitude of posts and thus misleading those members of the technical community who do not have the technical depth to differentiate substance from chaff. IMO you should be considered for removal from the membership. Your insensible contributions actually are harmful.