Seems like you have gained quite a bit of knowledge by doing whatever you do but feel sorry to say that this comes at a cost of being highly judgemental and you pass on your judgement without even understanding the exact situation (mechanical like indian judicial system) or standard GYAN to use your terminology.
I do not want to get into an arguement about how long the marriege lasted actaully who is in a better position to maintain the child and where the childs welfare is because you being so prejudice in passing on your judgement no matter what I say a standard mechanical reply is gonna your respose.
However, I would like to add that by gain I always ment the welfare of child.
You approach on proactively giving money sounds useful in many cases where the child actually get the benefit of of what you pay her mother. But do you think that that is always gonna happen. If mother and her family members were really sensitive with some humun touch and actaully careful about the future of the child and not money they will not go to the extent of filing False 498a/DV etc on the pretext of going to home town for delivary implicating anybody and everybody who was or wasnt in a domestic relationshop and them pressurize to extort the money. Moneymindedness doesnt go with the sensitiveness and you are talking about welfare of the child with those peopel. I am dealing with those who can go to any level to get back to you. I am also sure that money that I am paying for my child is actually being used by them on alcohal and paying lawyers to further get back to me.
A simple Gyan for Gyani like you: Try to understand the individual situation and scenarios before passing judgemental and you Gyan will be more useful for the people who actually need them