Buttons, that's a distinction that they get wrong in documentries and journal articles, let alone the average person. Lay people hear those words used interchangably all their lives.
For the OP's benefit, the main difference inbetween venom and poison is that venom works in the bloodstream, it harmless if injested (provided you don't have ulcers or sores in your digestive tract).

But on topic, I agree with you, stories like that are always horrible. Unfortunatly it's not reversible. People just need to become more educated, because society teaches them a phobia, an irrational fear.