A safer way to say this is: some essential oils may sometimes be used with dogs under veterinary supervision, but they should not be assumed safe just because they are natural or commonly recommended online. Veterinary toxicology sources warn that essential oils can harm pets through topical exposure, inhalation, or ingestion, and risk increases with more concentrated products.
That means I would not recommend presenting lavender, peppermint, chamomile, frankincense, or cedarwood as generally safe oils for dogs without qualification. In fact, Pet Poison Helpline specifically notes common toxicities in dogs from oils such as tea tree, pennyroyal, wintergreen, and pine, and their veterinary toxicology materials also include peppermint oil among oils discussed for poisoning risk.
A client-safe version would be: “If you want to use essential oils around a dog, speak to your veterinarian first, avoid direct oral use or concentrated topical use, and watch closely for signs like drooling, vomiting, lethargy, wobbliness, skin irritation, or breathing trouble.” Poison-control and veterinary sources advise seeking help promptly if exposure occurs or symptoms appear.