I've always wondered why the New Yorker puts an umlaut on words with a double vowel, like coordinate or reelection. Reëlection just looks so weird. Also, it's not really nice enough to go sunbathing today :(
@1, more properly called a diaeresis (uncomfortably close to diarrhea and diuresis), when used in English words as you describe. Kind of fussy and redundant.