It is not nitpicking, you are perfectly right. I give you the menu-item. (took a picture)
French Dip. A classic sandwich:
Thin sliced roast beef on a french roll accompanied by fresh au jus.

The sliced roast beef was pretty good and the fruit a real good fresh mixture. The "au jus" was pretty artificial but I'm not much of a dipper anyway. You are right, nothing on a menu guarantees how they put things together. But it was good, fresh and what I like 'light', tasty and satisfactory. The perfect lunch.

The next day my son roasted beef on the barbeque which we ate with good bread and had fun saying: "without the with au jus".
No matter how refined, it's hard for any restaurant to beat good home cooking.i.m.o.