I know that it's already been mentioned that for the purposes of a melee weapon with the thrown trait, it counts as a ranged weapon when making a ranged attack, so I could see argument that you could use, say, a starknife as a fated shot ikon, but it only works when throwing it; in a similar way you can use a bastard sword for feats that require a two handed weapon while your are two handing it.
That said, it looks like you're also reading flavor text as rules; the ability itself does not limit you to "ranged weapons that use ammunition"; the ability works just fine for "throw a dagger into the sky to make it rain tons of daggers". A lot of people make this mistake with the inorexible iron magus, where they saw the flavor text mention a few specific weapons as an example of what your armory might look like, but interpreted as "you can only use these weapons"