There must be exceptions, though. We can't generalize, especially when we don't know for real what is the reason behind that distance. It can be for negligence, careless or it can be for necessity, like the parent having to work abroad, for an example.
we cant generalise all peoples experience, but based on the story/scenario of this topic. we can atleast use different scenario's to atleast build up an idea of the possible outcomes for that one scenario described
for instance even though its said the natural parents just financially cannot support the extra child(not a physical/disability rejection plot). we can say there might remain a emotional bond if the parent/child stays in communication daily to talk about school, friends, girlfriends so the child gets life advice from natural parents and stays involved in decisions.
however when its said the cousin/relative becomes responsible for education, raising, feeding, clothing, life advice, medical proxy and all daily activities. meaning all decisions made by the adopting cousin, then it can mean less communication/involvement on daily life by the natural parents
we can then use other scenarios such as in divorces where a child is sole custody of one parent where communication lacks with the second parent in regards to daily life, advice, relationship tips, education, even medical decisions and knowledge of the childs wellbeing, which there are many public sources of information documented of outcomes of children of one parent families and the relationship with the 'absent' father