Name

Well at the time of the release the wings where indeed called "White Diamond Wings" however the name was changed following the "Enchant" renaming patch as a part of the Rejuvinogi Update. The reason the page is called White Diamond Wings is because if we just say "Diamond Wings" then people will get confused with what color they are. It sounds dumb but I can promise you it will happen.

Then can there be a note somewhere stating the actual name is just Diamond Wings?

The name of the page should always match the in-game name of the item, unless there are multiple items with the same name. It looks like someone already moved the page, but I suppose you can still add a note that it used to be called the White Diamond Wings. The [[White Diamond Wings]] page already redirects here though.

Ok. That works.