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FYI, the umlauts above Ä, Ö and Ü have actual meanings in German (and in Swedish, minus the Ü), and are in fact considered completely separate letters from A, O, and U, and come after Z in the alphabet.

They are also distinctive when spoken. Umlauts as decor ("Mötley Crüe") are really weird, because those letters don't actually sound like O and U. No German speaker would do something like that, unless they were feigning ignorance to pander to an English speaking audience.