I think it depends on how long ago you need to go to be “classic”. I bet they were originally lard and tallow.
McDonald's formerly used a blend of tallow, lard and coconut oil, iirc. The Tipping Point guy... .. . Malcolm Gladwell, had a podcast about this, McDonald's Broke My Heart: https://www.pushkin.fm/episode/mcdonalds-broke-my-heart/