Labor is typically around 30% of the final cost of prepared food in a restaurant.
Remaining 70% is 30% food costs (which has dropped drastically since the 50s), then 20-30% operations. Profit is whatever is left.
So a diner burger is not mostly labor but I honestly have no idea what these costs were 70 years ago. I'd love to know, seems like something is missing.
Likely everything in the chain going up 1-10%.
Much of the 30% food costs is labour further up the chain, and much of the 20-30% operations is also labour.