Thanks for posting! This is one of those enduring questions, with random sampling playing a role and variables that can be argued for either side.
For example, when a starting pitcher is physically fit and is “making his pitches” that day, so to speak, and is already a high quality starting pitcher to begin with, I think the third and fourth time through the order can actually favor the pitcher. The pitcher has that data on what the batter is doing and swinging at, on that particular day.
what do you think?