Japanime Games did the XXL cards for the two kickstarters and they are rather popular. I'd be shocked if they didn't produce XXL cards for season 2. How they will be available is anyone's guess.
Personally, I don't see any advantage to them over the normal cards, but I am used to using cards from playing D&D miniatures and Star Wars miniatures.
I like using the XXL cards for my own team, then have the opposing team as regular sized cards in front of me so I can quickly reference their powers.