Well, that seems safe enough. Actually my integrative team works pretty well with the other docs, but I understand it is not always the case.
I will suggest though, that castor oil comes from the castor bean/plant, parts of which are highly poisonous, and other parts can be irritating, so some people may be sensitive to it. I have a problem handling the plants, so I would probably not use the oil myself.
I think there are other, milder and probably less irritating oils you can use for dry skin & nails. When I was recovering from heavy metal poisoning, an unwelcome adventure a little like recovering from long Covid, I had thyroid, hair, skin and nail issues. I used Vitamin E oil squeezed right from the little liquid gel capsules and combined it with a very thick a scent-free dry skin cream - CeraVe worked for me. Then I put on cotton gloves to sleep. My husband uses pure coconut oil, but I don't like going around smelling like a tropical drink. 😁

There are many other mild, natural oils like grapeseed, sunflower, avocado and olive - and you can always add a little essential oils so it smells nice. Some soothing/healing essential oils include chamomile, frankincense, lavender, sandalwood, geranium and patchouli.

Caution: Always try new stuff one ingredient at a time on your skin so if you react badly, you know the cause.

Sue

Others may have different suggestions.