Because it doesn't make sense to give away two bases after nine innings of it being really hard to earn. A team starts an inning with a runner on second after nine innings of doing everything possible to try and get a runner to second? It takes a double -- which is hard -- or a walk and a steal -- which is hard -- or something to get to second (let alone a leadoff hitter at second!) for 27 outs and then it takes ... showing up.
To me, it's like the game changing the rules on the fly, devaluing something that an hour earlier was super valuable. I don't get it.
They don't change the three-point line to a 5-point line in over time.
They don't change a field goal to six points in over time.
That's why. Contrary to popular belief, writers -- while constantly aware of the cost of missing deadline -- aren't at the ballpark looking for reasons to leave the ballpark. I would take the extra time of not being at home to feel better about the story I am writing.
You make a compelling point -- that you find it compelling. It's possible that I'm wrong about this in the end because what matters is entertainment. Are you entertained? Then what's it matter what I feel. It will change to entertain the more fans, and I'll get that game story in a little earlier, I guess. But probably not. I tend to write to deadline and 3 minutes over regardless of when the game ends.