PeeJay I have to disagree with some of your statements, “Seems pretty categorical that the name the club gives itself in English should be the one we use here”.  If Pele calls himself Pele all over the world in Spanish, German, Italian etc but wants to give himself the name “Frogman” in English – it doesn’t mean that everyone has to agree with him or call him this.  Especially if every English speaking person knows of Pele as Pele.  To be listed as anything else in a reference encyclopedia like this one is just problematic.  So in this case it should be listed as what it is known as  and used widespreadly which is Inter Milan.
Also you mention “you can clearly see you've reached the right page from the opening sentence” but lots of people will be confused – which shouldn’t happen.  The page is also difficult to find and an example of this is from a Google search for the words “Inter Milan” – you would expect for a Wikipedia article to appear on the search results but the Wikipedia article  does not appear ANYWHERE on Google because of the current naming convention. []
You say people will “learn something in the process”, but this is irrelevant as the primary things to do, the BASIC thing that has to be done on an encyclopedia is to “reference information” that “can be quickly found when needed” and not appearing in Google search results because of a badly named article is not helping people quickly access information.
Kauffner suggests that if the club calls itself Inter then that is another reason to include it in the (full) title ie Inter Milan (NOT to name the article Inter)
Also the club DOES refer to itself as Inter Milan and here is the evidence to back this up:  the Google search result text for “InterMilan” displays the official English title of their website given from Inter Milan’s HTML = (Top Google result + 3rd Sentence down) [].  The HTML can also be viewed by going to the website homepage, right clicking the page, then view page source, CTRL F to search for “Inter Milan” and it is the 2nd result = "Inter Milan official website"  []      '''' [ talk ]