I once asked an old neighbor lady how they seasoned cast iron back in the old days. She just looked at me at me kind of funny and said nobody she ever knew seasoned their cast iron cookware. They just used it. Over time it just became "seasoned". She was right, too. I have never done anything special to my cast iron but use it and it is seasoned just fine. In fact, the outside of my pans are just as black and slick as the inside. And while there has been some cooking oils that have come in contact with the outside of my pans, they certainly haven't gone through a seasoning process.
Personally, I think the heating and cooling of the cookware has more to do with it than what fat you use. Just my humble opinion.