They are your birds, and of course peace of mind is worth something. But generally speaking, they really are not in danger of dying unless there is another health issue.
Molting is a natural part of a chickens life. If it were life threatening, well chickens would have gone extinct. Extinction is caused by a natural life happening that causes death before being able to reproduce.
In the beginning, I was sure something was wrong, it just SEEMS like they molt in the wrong time of the year. But I found that they did just fine in the coop/run with the other chickens. I find that chickens that molt hard, tend to feather back quickly.
So I don't worry about molting any more. I just let them do it and they are fine, regardless the temperature. This time of year, we are frequently below 20 degrees, in the night. Temperatures do swing wildly as they will be as warm as 70 degrees in the day.
Mrs K