The only difference with the Danish oil is the addition of some varnish. Apply enough coats and it’ll start to build up and might help a little with stain resistance. Otherwise you would need something more durable like a film finish. I think maybe laquer or a CA finish would work well for oil/grease resistance.
Some people don’t put any finish on handles and let natural oils from their hands build a patina. If you don’t like the look then some kind of film finish is probably what you need.
I just try different handle shapes until I find ones I like.