Not many Montanans hike the CDT for day hikes and such. There are so many other places to hike, closer to the population centers (as such they are here) and so many others thing do (rafting, etc).
As far as remote meaning far from town, ya, as far as trails go, it's a good distance from towns, especially if by town you mean PCT/AT style towns.
Plenty of solitude awaits if that is what you're looking for.
And yes, Marta, always sad to hear about young seasonal workers dissappearing in Glacier, happens every 3 or so years. Almost always a young male in their mid twenties travelling solo. Can't blame then for their adventerous spirit, sad that they die sometimes, very sad.