My Honest Take
What I’m writing here is completely my own opinion, not a rule or an absolute fact. Personally, I don’t really think skin chemistry makes that much of a difference. I mean, I’ve never experienced a perfume smelling completely different on one person compared to another. Of course, I do believe there can be small differences from skin to skin, but if a fragrance smells woody and oriental on one person, how different can it really smell on someone else? It’s not suddenly going to smell metallic or animalic.
What Actually Changes: Performance
When it comes to performance, perfumes generally tend to hold and project better on oily skin than on dry skin. This is because fragrance molecules interact well with oils, and the natural oils produced by the skin can help the scent spread more.