PC What is the projectile cooldown for melee weapons?

felis

Terrarian
Recently, I found that for some projectile melee weapons, although they normal shoot a projectile per swing, but once the melee speed is fast enough, it can only shoot projectiles every other swing. Seeing the cooldown for the Enchanted Sword, I think the reason is that they have a cooldown for the projectiles, so for example if a weapon's projectile cooldown is 7, swing speed faster than 7 will cause projectile can only be created every other swing, and this decreased weapon's DPS (and also making there being a best swing speed for each projectile melee weapons).

Then, after checking the wiki and game code (I am not good at it), I failed to find a cooldown time for any projectile melee weapons.
So my question is:
1. Whether my theory for the projectile cooldown right?
2. If the theory is right, how can I found the cooldown for any projectile melee weapon?
 
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