Once again I think that the only logical conclusion to this line of thinking is not to penalise children of these tax-dodging-benefit-scroungers, but to give them to nice middle-class families where they can be properly brought up.
Similarly we would probably require chemical castration for all unemployed people and anybody on benefits, including all mentally and physically disabled people.
And if you have more than two children then all extra children should not get child benefit, or state education, or health care, 'I think society very generous paying for two children'.
The solutions proposed by you and by me (in jest) are worse than the problem you are trying to fix.