Indeed, Emma. We've had similar experiences, particularly at an international conference in Naples, attended by northern Europeans and Americans with locked doors, no projectors, etc. Lots of frowns, sighs, checking watches.
Though I am older and my experience is dated, at least among people I know, many would find eating at a desk uncomfortable, out of place. You may notice that you don't see people nibbling in the street, walking around with paper cups of coffee, or even much snacking between meals. Also, eating with bare hands makes a lot of people squirm. Even at those riverside picnics in summer, people have plates, knives and forks. So setting up to eat inside an office rather than the company restaurant is a big change.
BTW, I knew many larger companies that had private chefs for the top brass and their business lunches.