Let's take as a given that Schilling needs to pray before he begins his work in a baseball game. Why couldn't he pray in the bullpen? Or on his way across the outfield to the mound? (Or in the morning when he wakes up? Or right before when he leaves his house?) ... Will God forget the prayer if Schilling says it too early, before he throws his first pitch? Does Schilling need to see how well he's commanding his splitter, and adjust his prayer accordingly? Maybe God watches NESN -- and thus needs to see Curt praying to then hear the supplication.
I grew up in a very religious home (some would call it a cult) -- and when I see what I believe are calculated (to some degree) displays of faith, I cannot help but think of Matthew 6:5-6:
And when thou prayest, thou shalt not be as the hypocrites are: for they love to pray standing in the synagogues and in the corners of the streets, that they may be seen of men. Verily I say unto you, They have their reward.
But thou, when thou prayest, enter into thy closet, and when thou hast shut thy door, pray to thy Father which is in secret; and thy Father which seeth in secret shall reward thee openly.