Here's a summary of my research on various oils...which I started some time ago and I've been prompted to "finish" it now. The Westernwooddoctor has a nice write up on oils vs spar varnish finishes. With many of the oil products actually being blends depending on the source, one can't expect that they will always produce the same results even though they are of the same variety.
A recent post, "Question about a finish", mentioned Tru-Oil, which I was not familiar with, prompted more of my research into the various oils used on sticks. I was surprised that it was used on gun stocks...being a shooter myself. And, with a positive recommendation from CV3, it must be a good product.
On the Birchwood Casey web site it is described as "...unique blend of linseed and other natural oils...".
https://www.birchwoodcasey.com/Refinishing/Wood-Finishing/Tru-Oil%C2%AE-Stock-Finish.aspx
Linseed oil is of course a standard "drying" oil used very often by lots of users, made from the seeds of the flax plant. Interestly, modern "Boiled" Linseed Oil is no longer boiled, but is blended with other ingredients to behave like the boiled oil of Medieval times. "Today, 'boiled linseed oil' refers to a combination of raw linseed oil, stand oil (see above), and metallic dryers (catalysts to accelerate drying)".
http://en.wikipedia.org/wiki/Linseed_oil
Another popular oil is tung oil, made from the seeds of the tung tree nuts. "Tung oil has become popular as an environmentally friendly wood finish, but it should be noted that many products labeled as 'tung oil finishes' are deceptively labeled...".
http://en.wikipedia.org/wiki/Tung_oil
I've purchased Hope's 100% Pure Tung Oil online with quick delivery, and liked the product.
And then there's Teak Oil, for outdoor use, and Danish Oil for indoor use. "Teak oil isn't made from the teak tree, it is so named because it is often used on teak wood." They are penetrating oils.
http://www.westernwooddoctor.com/teak-oil-vs-spar-varnish.htm
I've used linseed oil for decades, starting from my days with the M14 rifle...but not very often. When I started finishing sticks a few times a month my hands became irritated, and even being outdoors my lungs seemed affected. So I switched to tung oil, and maybe it helped a little, but not completely.
I finally had a epiphany...why not try pine pitch oil that I use on my leather boots for my piney sticks! It works well, and I actually use the oil as a lotion for dry hands...no more irritation problems.