Paternity suits of this kind (to prove you ARE the father of a child born to a woman married at the time to somebody else) are quite rare and would suggest an unusual reason. He’s clearly not worried about being overcome by child support issues. Perhaps he wants to adopt the child.
The online docket is terribly convoluted, as it looks like the West/Bialek child-related battle went on for years. It appears, though I'm not certain, that both Mr. West and this woman filed suits to determine paternity at about the same time. You can't tell which one of them was disputing paternity from reading the docket.