Well it obviously isn't about the environment changing, and or fish bothering them. Assuming your water paramaters are good (No ammonia / nitrite problem, or temp problem) then it must be a problem with the jawfish itself.
I have had just about every type of jawfish over the last 10 years, and my experience is that when a jawfish begins to get sick, it tends to wander and leave it's burrow to die. In the wild this would make them susceptible to predators, not sure if this is natures circle of life or something like that.
I have never had any of my jawfish once sick die in it's burrow. Just my experiences with various species. As I am sure you know when a fish stops eating and or refuses to eat it is generally a very bad sign.
On maybe a slight positive I have had problems in the past where one of my angels was sick and stopped eating and my other two angels seemingly heathy started to not eat as well. When I removed the visibally sick angel to a hospital tank the other two began to eat and act normal immediately. Perhaps only one of them is sick, and the other is acting different because of it. I realize I am making a general correlation, but I have seen it before with other fishes as well that act sympathetically.