Thanks for all the suggestions and comments so far. I do use 3rd party power cords for all my components. They are not expensive ones. They are mostly Pangea power cords. I'm not so sure if they are good power cords, but they give me peace of mind. I think the Pangea cables are very much over promoted by Audio Advisor. I've tried their IC, and they are just so so.
Anyway in general, power cord is one area of my system that I haven't found big impact on my sound. I wonder if it's because the Pangea cords are simply not up to snuff, or I just have very clean power from my electrical outlet. I live in a high rise apartment building that's a little less than 20 years old.
My original question is about whether the line conditioner itself should use a better quality power cord than the stock one. Seems like there are definitely many different opinions on this. I was hoping not having to spend the money if I don't need to, but I guess I would have to try it out for myself.
Thanks. Feel feel to suggest a few best bang for the buck power cords that I should consider!