the foams are actually rather durable...Unless you chunk the sidewalls from bad tumble down the street....
They will, however, wear away with use on such an abrasive surface as asphalt...so a set of foams may only last you a couple of weeks - instead of, say, a summer like rubbers would...BUT the traction will be much, much better than rubber tires...
If you are going to race on a dusty surface, I'd go with treaded rubber tires, since they will handle the dust better than foams or slicks...Remember, foams are really slicks, just made out of a different material