Terrain flashes everywhere if you're near or below it, regardless of whether you're on track to hit it. (It's only the Alerts that are a function of time or distance.) You can set the outer limits of what flashes to 25, 50 or 100 nm, but I leave ours at unlimited. (There are times on flights where I've needed to look ahead on a 300 mile trip to see when I need to climb, and at 150+ kts, that's sometimes only an hour away.)
Having said that, the Profile View is smart, in that it only shows "terrain" that you'll hit for the course that you're one. (Can get interesting as you're weaving thru mountain passes.)