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.
I hate DMing for players smarter than me 🤬🤗
You can also safely check with Vicious mockery. The spell can target any creature, but only damages the target if it can hear, which “inanimate” things cannot.
On the other hand, Dissonant Whispers causes the target to hear (rather than hearing being a precondition as it is with Vicious Mockery) and with this you can kill petrified creatures, thus ensuring no spell casters return them to flesh-and-blood, without damaging the statue.