not necessarily. Muslims might have an issue with lard in their soap, but not palm oil
Well, now these are religious issues, not ethical issues. However, just because one belongs to a religion which observes dietary food laws, that does not equate to restrictions of other uses of those products.Also some Jewish people. Although my neighbor knows my soap has lard and she’s fine with that.
For example, in my youth, we observed specific dietary food laws that restricted us from eating any animal without a cloven hoof or any shell fish, among other things. That did NOT mean that we did not wear or use leather shoes or belts made from those animals or that we didn't collect seashells, etc. Dietary food laws only applied to the consumption as food and nothing else.