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There is Automatic Crossbow for crossbows behaving more like guns (multiple shots before reloading, including multiple shots without even pulling back the bowstring in between).
See Bows and Errors for other common problems with bows, although it's not specifically about "bow equals gun".
Yup, Bows and Errors was the trope I was looking for, I just assumed it was more focused on that relationship, but I remember reading the trope. Thanks, KD!
Is there a trope about bow and arrow users behaving like gun users? Either as a source of comedy, or because the writer Did Not Do The Research and assumes the two weapons are similar enough they can cross out gun and replace it with bow if he's setting the story far enough into the past.