For example, you'd not want hear the same track twice in a row, even though this is bound to happen in a strictly random shuffling.
Why would it be? A random shuffling of a unique set remains a unique set.
It's only when "next song is picked at random each time from set" which you're bound to hear the same song twice, but that's not a random playlist shuffling (shuffling implies the new set is created at once).
Or when the set repeats, and the random order puts songs from the end of the first ordering of the set into the beginning of the second ordering of the set, so you quickly hear them twice.
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Why would it be? A random shuffling of a unique set remains a unique set.
It's only when "next song is picked at random each time from set" which you're bound to hear the same song twice, but that's not a random playlist shuffling (shuffling implies the new set is created at once).
Or when the set repeats, and the random order puts songs from the end of the first ordering of the set into the beginning of the second ordering of the set, so you quickly hear them twice.
a new ordering, not a new set
Same difference...
(yes, you're technically correct)