You can still have different types, but they wouldn't deal different amounts of damage. Mithril arrows could be more durable than regular ones, though.
Because the launcher multiplier acts as a source of "extra blows" in missile combat without actually requiring you to shoot multiple arrows. It's actually a pretty clever way to make ranged and melee do roughly comparable damage without making the interface for ranged be horribly tedious (and without doing away with ammo altogether).
Remove the ammo dice roll and you have my suggestion.
If you're really set on having damage dice, there's no reason you couldn't attach dice to the launchers. Then you could have standard Longbows (1d6, x3) or Longbows of Slaying (1d8, x3) or Longbows of Extra Power (1d6, x4), et cetera.
Also why would the to-hit damage bonus be multiplied for ranged attacks when it is added for melee attacks? I think it would be better to calculate them both in the same way.
If you wanted to keep the power multiplier make it:
Launcher damage bonus + ammo dice roll * (launcher multiplier + slay multiplier)
Launcher damage bonus + ammo dice roll * (launcher multiplier + slay multiplier)
If you're really set on having damage dice, there's no reason you couldn't attach dice to the launchers. Then you could have standard Longbows (1d6, x3) or Longbows of Slaying (1d8, x3) or Longbows of Extra Power (1d6, x4), et cetera.
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