I was thinking of making something like this
https://www.triedandtruewoodfinish.com/products-landing/stain-finish/
Stain & Finish is a combination of superior penetrating linseed oil and all natural earth pigments. In addition to giving the wood artistic coloration, the stains will also protect the surface and highlight the grains and natural look of the wood. These are perfect for all interior wood working projects, including tables and furniture, cutting boards, butcher’s block, children’s toys, cribs, etc.
All Tried & True products are 100% solvent free, zero VOC, and safe for food and skin contact.
Linseed oil (not sure how it's processed) and mineral pigments seem the main ingredients. No solvents like normal stain.
Can still use oil and waxed based finishes on top as it doesn't seal the wood like paint.
My oil paint has linseed oil and earth pigments. Just more pigment. In theory, there could be a way from oil paint to oil stain. Anyone know the path?