In the attached images, a spectral arrow was loaded into the crossbow. Note the inventory and shot textures of this arrow, and how the arrow loaded in the crossbow does not resemble either and instead uses a default arrow texture.
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Same premise as MC-87685.
That's regarding bows, which are different. If a crossbow can render a firework differently from an arrow, it should also be able to distinguish arrow types.
This is more of a suggestion but its okay to include it here