The french fry station looks like an ideal place to start, anyway, since it's usually a task that doesn't get a dedicated worker unless the place is extremely busy. In the quieter times it's something nobody has time to work or monitor while doing other things. And then, suddenly, everyone is waiting on the fries to finish.
From a more critical POV, it's kind of a kluge but at least a human can take over. There have been products for a long time [3] that are more self-contained and can do smaller batches of fries but need a hell of a lot more maintenance and cleaning.
[1] https://www.youtube.com/watch?v=UB4vFRcCN-4
From the video, it actually seems as though White Castle burgers are even more optimized for process automation as their preparation doesn't even require flipping (TIL).
If you want to see flipless automation, McDonald's has been doing it this way for a few decades now:
- Square patties already designed for uniform mass-cooking
- Square-ish bun (Easier to grab/guide I would assume)
- Open-face Box packaging rather than a wrapper or clamshell
It's a pretty streamlined design as-is, as evidenced by how quickly you can get a crave case from time to order.
If you structure everything around it from the start I could see it