I agree with you, but I think you did overthink his metaphorical example a little.

I think the point was that for a 40 people club odd are very very poor that two people would have the same name. And even if so a club manager could still differentiate by adding a middle name or a nickname (in a 40 people scenario).

Of course IF your neighborhood club expand and you need to manage a lot of people you'll have to switch to a better technique. His point was that you must fit to you business case. (But hey some people change name when they marry so... problems can happen fast, but that's mutability issue not uniqueness).

Overall very good article but keeping critical mind as you did is needed.