A trench coat was originally made to protect one's clothing from rain (it is a waterproof coat) and a duster was originally made to protect one's clothing from dust/dirt. So that would be correct about the duster looking like a western piece of clothing, because they were made for cowboys to wear while they were riding up and down dirt trails and shit on their horses. It kept dust and dirt off their clothes and that is why it has a slit down the back of it, so that cowboys could wear it while riding horses.
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Dignified and true
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As you'd have done to you”