Mineral oil never cures. It's good for cutting boards because it's food safe and doesn't go rancid but it wears off quickly and needs replaced. I wouldn't recommend it for your cabinet. Boiled Linseed Oil will cure and will be fine, regular flax seed oil won't-or at least not quickly or well. The shellac that Joe uses is a good choice, possibly better because a lot of old furniture was finished with shellac. Shellac is also safe and easy to apply and clean up. It uses alcohol as it's solvent. Finishes sold as Danish oil are types of varnish and will work too. I've used all on various projects with good success.