I would argue that figuring out where to go for lunch, getting there, waiting in line with the dozens if not more other people who had a similar hankering, getting my food, eating in a crowded area or taking it back to work, are way more than one headache a week. I would consider that a daily migraine. In fact, that was my daily migraine before I just stopped going out for lunch altogether.
Free food isnt just about the food. Its also the convenience. I already have to fight traffic getting to work, and I fight through the crowds any time I go shopping or anywhere remotely popular in the area. Having to deal with that madness in the middle of a work day when I just want a meal would certainly be a dealbreaker for me.
And from my understanding, you wouldn't get any free microwave burritos -- those would be illegal.