That goes against the principle of requiring only residency or citizenship, why would you kick children out of it? Wouldn't you then need to provide a separate welfare program for needy children?
I am not sure -- perhaps if the proposal is that it's directly based on only the residency or citizenship then children too would have it, although I would find it somewhat questionable if it is needed(because it's the parents who need the money, not the children themselves for example). Perhaps the system could work better if it was for adults only, or that the money goes to adults.