Hold the fish first. A mullet is an ordinary coastal fish that people catch and eat, and that use is very old: the name travelled from Greek into Latin, then French, then English, carrying the same animal the whole way. The haircut is a second, much younger use of the same spelling, and its picture is a head seen from behind: short on top, long down the neck. Our evidence gives no link between the two, so keep the two pictures side by side rather than joining them into one story.
From the word’s history
Middle English molet, from Old French mulet (now 'grey mullet'), from Latin mullus ('red mullet'), from Ancient Greek mullos. The word has named this fish for its whole recorded history.
中古英文 molet，來自古法文 mulet（今天指 grey mullet），再往前是拉丁文 mullus（紅鯔魚），最早對到希臘文 μύλλος。也就是說，這個字有紀錄以來一直都在指這種魚。
Wiktionary, "mullet" (etymology 1)
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