I follow the ST box scores because they're baseball box scores and I enjoy baseball box scores. Other than that, I mainly want to know these 3 things, as they tend to be the bellwethers of the team's success for the upcoming season:
1) Which players are in the best shape of their lives?
2) Which pitchers developed a new pitch they're excited about using against real live hitters?
3) Who has corrected a vision problem during the offseason and is ready to hit like Molitor now?
Joking aside, I do enjoy the intriguing player background stories that sometimes pop up during ST.