That demonstration has been around for at least 50 years, touting various types of miracle lubricants. I saw my father embarass a salesman to the point he packed up his sample case and left the shop, by freeing up one of those stalled load machines by squirting a little bit of Coca-Cola onto the rotating assembly. It's called a "P.T Barnum Special"- - - - -there's a sucker born every minute!
Synthetic oil is basically vegetable oil with some trick additives instead of oil that's pumped out of the ground. It's no better, or worse than what we've been running for the past 100 years. Keep it the right thickness for the job, and change it regularly- - - - -mineral or synthetic doesn't make much of a difference!
Jerry