It depends on my mood. For smoked burgers, I like 'em thick with a nice steak-like bite to it.
But then again, there is something about two or three thin patties, crispy on the edges (like you describe) and piled on top of each other that you just don't get with thicker burgers.
I absolutely do NOT like burgers that are too lean, no flavor, no juiciness. So, as long as I need plenty of napkins, I'm good!