A lot of these oils come in four catagories that you need to be on the lookout for:
1) edible versions, these work well for finishing, walnut oil is very useful, for instance. Some of these oils have anti-oxidants added to then in accordance with current health fads. So amended, they won't dry and are useless.
2) basic oil, often dry far too slowly to be practical. One can add Japan dries to these, or mix them with varnish to blend propeties including drying speed, and water spot proofness.
3) Boiled or polymerizing versions. Boiled linseed oil was heated in the past. Perhaps it's all chenicals today, but pure boiled oil will harden better than raw, and is used extensively in preparing varnishes and paints, Modern stuff may have driers added or one can proceed as already mentioned by mixing with a product that has driers in it. One recipee I have mentions adding 5% japan drier to boiled linseed. Metalic driers may be poisonous so be careful about using them, or unknown stuff, on kid or food ware. Even with driers, one is supposed to rest a stock done in lin for a month between coats. Lin was used on Best guns, so I guess it's good enough, but you need patience, or a long off season.
4) Short vanishes. These range from home made concoctions to all those products that proclaim "Tung Oil varnish". As mentioned above there can be almost anything it these products. My 2 favorite commercial products are Birchwood Casey's oil stock finish which is so good some guitar makers use it, and watco, not so much for guns but in general. A favorite home brew is maloof finish, which is 1/3rd boiled linseed, 1/3rd polymerising tung oil (the boiled linseed of tung oils), 1/3 valspar OIL varnish. This concoction has it all: shine from the lin; hard oil performance from the tung; and driers and water mark proofers from the valspar.
5) Varnishes or paints use these oils as their bases, traditionally.