Disclaimer: this is purposefully obtuse.
Other effects in the game which explicitly state they kill you:
Shadows, succubi, massive damage, death saving throws, beholder death ray (notably not even their disintegration ray kills you), power word kill, vampires, mind flayers, night hags, drow inquisitors.
Clearly, if they intended for disintegration to kill you, they’d have said so. Since specific overrides general, and there is no general rule that disintegrated creatures are dead, I rest my case. QED.
Edited, because you edited your comment as I was replying: The “current state” of the creature is that it can only be brought back to life by the means mentioned in the spell, I agree with you there. But it does not mean that the creature need be dead for that to be a true statement about its state.
Would you agree with me that the normal, default state of a creature is “can only be brought back to life by [exhaustive list of all reviving magic]”?
Nothing says you become an object. Compare to True Polymorph, which has a section for turning a creature into an object.
It’s assumed that the player is clever enough to know that dust is an object, as the player’s brain is assumed to not be made of dust.
I’m not looking for assumptions, I’m looking for RAW. I don’t know about you but at my table we play by the rules.
The RAW makes a lot of assumptions about the reading comprehension of the reader though. If you want the RAW to hold your hand through understanding basic English, then you’re always going to have these problems.
Look, in your opening post, you state “Clearly, if they intended for disintegration to kill you, they’d have said so.”
They HAVE said so. Crawford has explicitly clarified this.