In some ways the remade Toronto Blue Jays owe the visiting Chicago White Sox a debt of gratitude, since it was their exploration of trade possibilities for Jake Peavy back in October that helped set the stage for Alex Anthopoulos to pull off November’s blockbuster with the Miami Marlins.

A few weeks before that franchise-altering deal went down, the general manager was close to acquiring the 2007 NL Cy Young Award winner from the South Siders, whose $22-million club option for 2013 was due ...