From the very beginning, Captain Picard was characterized as being uncomfortable with children - an interesting trait that the writers liked to pull out frequently, with mixed results.
In this case, Picard is literally thrust into fatherhood when a teenager is discovered in an alien wreckage. This story comes off as somewhat hackneyed - if you've seen any episode where a divorced dad or uncle finds a kid on their doorstep, so to speak, you've seen this one. (Especially the "heavy metal" scene - painful to watch.)
The other twist, of course, is that the teen is the victim of an intergalactic custody battle. An interesting concept, but the teen himself was not a particularly sympathetic character and we don't particularly care what happens to him.
This theme was better explored in the DS9 episode "Cardassians".