Anyone who has been a host knows I prefer intentional obfuscation as long as it's not inherently mean... and if you object to a clue as obfuscation, I'll usually submit a softball in response. The challenge merits itself and word games are meant to be a challenge, imo. Using baby might as well be a clue saying 'Tyrion. The answer is Tyrion.' <--- answer to the big headed subject.
That aside, I didn't figure out the clue but had no issue with it (bubba as baby) when I heard the answer. I don't know that I've heard babies called bubba before but it feels like a reasonable thing. Not sure why.