There is lots of confusion over the term “Natural.” The term isn’t controlled by the FDA and it has developed an “aura” that is actually deceiving. The fact that Whole Foods makes tons of money off the label is evidence that people believe that “Natural” is good or healthy. That isn’t what it means and being natural isn’t necessarily healthy. Generally it means that the product isn’t made or caused by humans. So Uni-Solve clearly isn’t natural. And baby oil (which is distilled from petroleum) certainly isn’t natural either. And vodka isn’t likely natural (although some vodkas claim they are natural).
In general I would recommend not putting too much credence on “Natural” as an indication of whether a product is healthy or presents a health risk. “Natural” wild fish can contain dangerous levels of mercury and harm your baby. If you are concerned about health risks of products it is best to ask your doctor. They will likely advise you that all the products mentioned here are totally safe when used like this to remove adhesive. So seek the advise of your doctor and ask what you should avoid, you might be surprised by their answer.