You do both realize, of course, that this is a trivially verifiable claim? Look at the records of how attended/represented in each org, and see if common people show up. Anything else is just silly.
The claim was that hey, they changed the org name and shuffled some people around. The counterclaim seemed to be, no, these are distinct organizations.
If the same people show up in the rolls for both, yeah, that claim might be substantiated, in this case.
Your example is arguably correct, but quite beside the point here.
Given that there was an effective hiatus for the period of the war, and the number of regime changes coming out of the way, most of the diplomats would have been different (though that would be the case even if the UN _was_ a reheated League of Nations).
