Yes, fragrance oils are terrible for birds!
Gosh, I forgot to add an important piece!
FO means fragrance oil, EO means essential oil. Lots of body care products (especially small manufacturers like I was) use these terms in their descriptions and /or ingredient lists. Extremely important to not mix them up!
Also very important: body care items like soap, lotion, scrubs are not required to list their ingredients at all, most do - but they do not have to list every ingredient.
Any item making any claim: moisturizing, relieving, soothing is a stretch are considered over-the-counter drugs, and ARE required to list all ingredients.
There's one more thing... I cannot recall the category where it belongs, but if the ingredient is less than 1percent of the formulation it can be dropped off of the ingredient list entirely. Preservatives frequently fall into this category as not much is required in most formulations. If you are allergic to things like edta, please be careful!