I have the opposite. My boss expects my DH to take some of the sick days for the kids. His boss also expects it. My boss has young kids so has an understanding. We have known DHs boss for over 13 years and he couldn't care less if DH took sick leave for the kids. Especially since he can work from home.
We decide who is staying home based on who has what on and what can be moved. I find it difficult because when they're ill, I just want to be with them.