What they can do, or will do, are two different animals. They won't do a d*mn thing until they get rid of their bias against the people who keep their sorry *sses free. 
It's even more insidious than that.
Sick troops are not effective troops.
Troops with sick dependents are less capable of staying on task--their thoughts are elsewhere.
This goes far beyond disrespect, and enters into a subtle means of degrading combat readiness.
Healthy troops are most effective, and it behooves us to safeguard the health of those who guard us all.