And the debate rages on! I love it. I find this stuff interesting. I probably should have been a chemist - not the RV in the desert kind.

For a non-chemist, I've actually had a lot of study on lubricants and adhesives through the various jobs I've had. Lots of self-study in order to solve problems attached to my work.
I love these type of debates because we're operating on conjecture, being how we've had stunning successes on each side of the fence. The big difference is that mineral oil is mineral, and olive oil is organic. Oils, both organic and petroleum, will evaporate and leave a varnish residue. What is in that varnish that you want on your coins?
Organic oils are in a constant state of decomposition, and petroleum oils are as well, but the petroleum (mineral) oils have already been processed by a million years of heat and pressure and their chemical composition has been transformed into longer molecular chains, which will break down less easily. The resulting varnish will most-likely last longer and act like a sealant. Not a bad deal.
It would also be unfair to not give credit to organic oils. Olive oil and linseed oil has been used in paintings that have lasted a thousand years. Oils used for varnish on million-dollar Stradivarius violins have certainly stood the test of time. It probably doesn't matter.
Use the one that works for your tastes, because none of us will live long enough to notice any change in the finished product.
