No (I think) the edge ones are just for training so dont have a map on them IIRC, my edge 305 doesnt anyway.
I use to for following a route, which it does fine in the open, it beeps to tell you you’ve gone off route within 5-10m of missing a turning, so even with 2 or 3 alternatives its easy enough to work out which one to take. On a 29 mile loop on Saturday which I saved as a course a month or so previously on a group ride and ammended when I got home to add another loop of singletrack shown on the map (so vaguely familiar, but i wouldnt have managed it without a map) I only missed 2 turnings, which I think is acceptably good.
Carrying a map is a good idea anyway as they have a habit of running out of battery or breaking down at the worst possible moment.