The artists' linseed oils are refined/cold pressed so as to contain less impurities that cause the yellowing and darkening over time as the oils dry/oxidize.
Unless you are wanting to stabilize the colour and not have the oils darken the wood over time, using that product is a waste of the extra cost at minimum and the wrong product to use at its worst (depending on your view and use of course).
Raw linseed oils (and raw tung oil) sold as such will contain no dryers and no carriers (like turpentine or mineral spirits), whereas BLO will. These are becoming harder to find, because very few people are looking for the 100% raw product, but specialty places like Lee Valley and other wood finishing shops carry them if you look.
The benefit is that you can always add a dryer (like Japan Dryer) and carriers to various levels to raw linseed or raw tung oil, but you cannot take them out of BLO or oils sold as 'polymerizing oils.'
Almost all mineral spirits are petroleum based and should in my opinion be avoided as the petroleum will attack the wood fibre over time.
Instead, try to source and use all natural turpentine instead - (in the case of your expensive milsurps you are trying to preserve of course).
The CMP has a decent article here:
https://thecmp.org/wood-cleaning-article/
Edit to add: I started typing this with only one reply in the thread, so obviously much of what I wrote was already covered.
I will add that both tung and linseed oils do 'yellow' or darken over time as they oxidize, and the use of both on a firearm stock is to ensure that the oils that penetrate into the wood fibre never really cure and 'dry' completely, so I disagree with some of what has been written in the Vermont Studio's article above (even if it is written from the perspective of a furniture maker).