Looking at Retrosheet data for the 2000s, the lead-off hitter on the visitor’s team was the center fielder 32% of the time. For the home team, the center fielder led off 31.9% of the time. Yes, I will check my numbers and data, but that seemed very interesting to me. (Second place for lead-off was the short-stop.)
For the statistics-minded, I looked at the position field for the first batter of the visitor’s team and the home team, and took the mode. I think that’s how it’s done, but I haven’t done real statistics since I had a slide rule.