It might not have been such an empty story 13-14 years ago (did they have the moving picture back then too? lol)--when 'racial equality, etc.' was hard-hitting stuff (just like "we're all part of THE MATRIX" probably doesn't shake anyone as much as it did when first 'revealed')
... heck, it's possible that some writers would burst into spontaneous-ejaculations at seeing Whoopi Goldberg and Ted Danson in the same frame. The idea of both those actors parenting the same child probably wore them out! leaving them feeling like the job was done after just setting it up.
But the writers could have made all the 'finding out things about blood-types and sperm-bank records' more interesting than 'I called a guy up there,' 'I tested my blood-type at school' and even more-interesting than 'I hacked into the labs records while Will Smith (behind a shut door) donated to the bank.'
Oh, `93: back when you were a 'hacker' if you could type more than fifteen wpm....