E.g. last time I fuzzed a network element with AFL, it took seconds from it to go from a starting corpus of a single ethernet IPv4 SYN packet to some double-encapsulated IP-in-NSH-IP-in-NSH-ethernet monstrosity that triggered a misparse. And seconds more for it to generate a IPv6 packet with a fragment extension header that triggered some other problem. A random walk would have no chance of finding that.