Both, as noted. I like aged asiago for many pizzas, especially those with actual nut components or those with flavors that are nutty (I use beurre noisette on some pizzas rather than evoo) and wish to boost overall nuttiness. I like fresh asiago on some, especially those with wilted greens (like chard), fresh garlic, goat cheese-sharper flavors I want to mute or mellow some. Fresh asiago, among other cheeses, does this nicely but still has a nice flavor all its own.