The removal of the emergency steel shelter at Edmands Col (northern Presidentials) in the late 1970s or early 1980s was done for two principle reasons, as I recall: 1) the place was getting trashed with garbage by people using the shelter as a planned camp site, and 2) people were taking stupid risks in bad weather thinking that the shelter would save them if things "went bad."
In my view, there are three primary places in the Whites where you do not want to get trapped by bad weather in winter, for either day hikers or backpackers: 1) the Edmands Col area, 2) the Guyot area (despite the lean-to that remains there), and Franconia Ridge. There is no easy escape from any of these three areas without topping out a very exposed summit or making a very long bushwhack initially on semi-technical terrain. Of course, there are lots of other areas in the Whites that also can be problematic, but I think that these three places deserve the most respect. We have had fatalites in two of these areas this past winter.
In my view, there are three primary places in the Whites where you do not want to get trapped by bad weather in winter, for either day hikers or backpackers: 1) the Edmands Col area, 2) the Guyot area (despite the lean-to that remains there), and Franconia Ridge. There is no easy escape from any of these three areas without topping out a very exposed summit or making a very long bushwhack initially on semi-technical terrain. Of course, there are lots of other areas in the Whites that also can be problematic, but I think that these three places deserve the most respect. We have had fatalites in two of these areas this past winter.