i don't know much about them but i think they are some sort of fiber reinforced plastic; not monocoque carbon fiber like hed or specialized wheels. i saw a test sheldon did on stiffness of a large cross-section of wheels and the aerospoke had by far the most flex. i take this to mean that you can abuse it a little more than similar wheels and it is more likely to rebound to its original trueing. aerodynamics are an obvious plus but if you're wearing a hoodie, jeans and a mess. bag don't even bother talking about aero. i think they're heavy as well but no experience.
if it's the case that it makes for a more durable and flexable wheel i see no reason not to ride one on the street.