In a vacuum, there's some logic to pulling him as outlined in the article.
But games aren't played in a vacuum.
I think Baldelli's biggest strategic failure is being too hyper-focused on a specific matchup while ignoring how the decision affects the rest of the entire game, sometimes future games. In the past, this was highlighted most prominently in selling out for the platoon advantage in the middle of the game.
He seems to have backed off that tactic this year, but pulling Ober the way he did when the bullpen has already been stretched past its limits multiple times in this short season is a different symptom of this same disease. Any additional innings - even any additional outs - that the starter can eat saves a bullpen arm for the next day. As we've seen, the opportunities for starters to gobble up these additional outs have been few and far between. The next three starts are AAA call-up, Paddack, SWR with no off days. The likelihood of dipping deep into the bullpen well over this stretch is high. Failing to account for this was a big missed opportunity to mitigate that risk.
Analytics are not the problem. It's another word for information. All successful teams use them heavily. Ask White Sox and Rockies fans how ignoring analytics has worked out. But just because most teams use them doesn't mean they all use them effectively. They could be using the same information at hand to make decisions in a more effective manner, but too often fail to see the forest for the trees. The problem isn't analytics, it's that Rocco isn't very good at using them. The problem's the carpenter, not the tool.