In Australia some of my school classmates had deadbeat dads who they had never met and got no financial support from.
Of course it’s complicated, but from my experience it seemed to be one of or a combination of: mom giving up on getting any money from dad, mom being a psychotic control freak and wanting to get rid of dad, dad having some serious issues and mom rightly wanting to keep the child/children away from him.
It must happen where a foreigner gets a Taiwanese woman pregnant (married or not married) and where the dad takes off and abandons the woman and child/children.
Is the poor Taiwanese woman basically out of luck?
At best it seems that a long and challenging bureaucratic battle would be in store. A battle that most would eventually give up on.