You're not dead when you're petrified, either, which can lead to some pretty interesting exploits, rules-as-written.
Petrified creatures count as creatures, not objects, so rules-as-written you can determine if a statue is a petrified creature by trying to target it with a spell that requires a creature for a target.
With the cantrip Poison Spray, you can check for petrified creatures without using spell slots or risking damaging the creature, since it would be immune to poison while petrified.