It's all true but the cafeteria is generally outsourced. Those employees are not on the books of the real enterprise and the software shared between all of the outsourcers customers. Same goes for many non-core functions.
I would not have wasted my time and yours if Bon Appetit was running it.
I can confirm for a certain very large enterprise that this is not the case. The employees ARE on the books of the company and considered full time employees with full benefits, and the software is custom built for this enterprise, by this enterprise, and not shared with any other enterprises