I've seen that page before but I wasn't convinced. I hope some more experienced parronts can chime in because I'd like to use essential oils, not on my bfa himself, but around his cage to deter fruit flies and gnats.
I have always loved them--at work. I just don't trust them around my fids. Anything that contains volatile oils makes me nervous. I'm not saying they're bad, but I don't know for sure so I don't use them. The fine particulates of volatile oils gets right in the nasal and lung tissue. Some say for better, I'm not so sure.
I use a product called Tei Fu from Nature Sunshine. I've been using it for along time, and it's strong. You can smell me coming a mile away. But I have to use it because I have fibromyalgia and it helps to relax my muscles and joint pain. It doesn't seem to bother Rio at all. I never apply it with her directly in the room but when it's time to go bed, she is in my small bedroom with me. I am carful though.