I have to agree with you all, I have absolutely no problem with anyone claiming anything they are entitled to; But equally, if you're going to open up your whole lives to the world then don't tell it you don't get any help, when you do.
Also agree that for the existing kids, another baby isn't a good plan.
A child with a learning or health problem is a massive undertaking. I don't understand how you can look at all those variables of differing needs, all the investment of time and think 12 + 1 newbie on top is a recipe for success.