TIL. I always thought that "If it bite you -> you die = venom" and "If you eat, bite, touch -> you die = poison". But your differentiation makes more sense
It's different for the actual substances. Although it relates: a venomous creature that bites you will release its venom into your bloodstream.
unless it's a bee, wasp, hornet, scorpion, stingray, jellyfish, man-of-war, platypus, lionfish, stonefish, sea urchin, or catfish, which all have venom instead of poison, but the delivery mechanism of said venom isn't biting
Or Hamlet's mother died by drinking poisoned wine. Hamlet died by being stabbed with an envenomed sword.