I think scottishmummy has hit the nail on the head, the issue with SAH skills is that they are not assessable and really if you are pretty poor at say time management skills then you don't get anyone complaining, etc...
I have also done lots of interviews and have been for a lot of interviews myself (internal and external) and would steer clear like the plague using "at home" skills as examples - whether you think it is right or wrong it just isn't what employers expect to hear.
I would go one more step and say that best not to mention children at all, I have learned the hard way. I had a guy in an internal interview say "oh my wife chooses to stay at home with our children, we think that's the right thing to do", whilst another one asked me if I didn't miss my children? So I steer well clear now and if they do ask me straight I always reply with a vague answer or a joke.
Also whilst in the job I never say things like "I am off early to take x to the doctor/to see a school play etc", if I need the time off I will either take it as leave or say something else like I have a private appointment - nobody tends to question it further. You just end up giving out a "Mumsy" impression otherwise and people think you are not reliable. Unfortunately, whether you think this is right or wrong, it is the reality of work these days.