Most 'honing oil' is just mineral oil. Some sellers might add a pigment to color it and make it uniquely theirs, and then resell it in small bottles at an inflated price.
BUT, the better honing oils will often be a lighter, thinner grade of mineral oil and sometimes food-safe rated ('USP' grade) as well. Norton's Sharpening Stone Oil is an example, and I tend to favor it for those attributes. The light & thin character of the oil makes for better feedback on the stones - so there's an obvious, tactile difference in using it, as compared to many other products.
But bottom line, any mineral oil product will do just fine. So-called 'cutting board oil' is mineral oil, as is the product included in small bottles for things like electric hair clippers/shavers and so-called 'sewing machine oil'. And as an alternate to Norton's oil, I've liked using a food-safe mineral oil I found at a restaurant supply store, marketed for use in the maintenance of food-processing equipment like meat slicers, etc. Found it in 16 oz. bottles priced at around $8 or so, which isn't bad at all (I bought TWO of those - still haven't used it all). That's about the same price ballpark as the Norton oil in their small 4-1/2 fl. oz. can.
There are some other lubricant 'solutions' used for sharpening stones that are apparently a non-petroleum product, maybe detergent-based. And of course, one can very cheaply buy the old standby, the 'intestinal lubricant' (laxative) variety at the grocery store or pharmacy. It's a thicker, more viscous grade of food-safe mineral oil. And it's cheap too - the last time I bought some of that, it was about $2 for a 16 fl. oz. bottle. It's handy for unfilled, very thirsty oil stones that would otherwise drink up too much of the pricier stuff.