First of all, don't say that power cords make a difference. You'll have plenty of Audiogoners telling you that they don't.
But, since you're one of us that do believe they help, think about this one thing. You hear what the better power cords do between the Shunyata filter and the components. What do you think will happen when you have a really good power cord from the wall to your filter since it then feeds each of your components? I believe the answer is a very obvious 'Yes!'.