Speaking as someone who's just had to choose between the two approaches and who ultimately plumped for HRW hashing: My use case was a simple load balancing one with absolutely no reassignment requirement -- if a node died it's perfectly OK to just choose a new one and start again. No re balancing of existing data is required.
1) Consistent Hashing requires a persistent hashmap of the nodes and vnodes (or at least a sensible implementation does, you could build all the objects on every request.... but you really don't want to!). HWR does not (it's state-less). Nothing needs to be modified when machines join or leave the cluster - there is no concurrency to worry about (except that your clients have a good view of the state of the cluster which is the same in both cases)
2) HRW is easier to explain and understand (and the code is shorter). For example this is a complete HRW algorythm implemented in Riverbed Stingray TrafficScript. (Note there are better hash algorithms to choose than MD5 - it's overkill for this job)
$nodes = pool.listActiveNodes("stingray_test");
# Get the key
$key = http.getFormParam("param");
$biggest_hash = "";
$node_selected = "";
foreach ($node in $nodes) {
$hash_comparator = string.hashMD5($node . '-' . $key);
# If the combined hash is the biggest we've seen, we have a candidate
if ( $hash_comparator > $biggest_hash ) {
$biggest_hash = $hash_comparator;
$node_selected = $node;
}
}
connection.setPersistenceNode( $node_selected );
3) HRW provides an even distribution when you lose or gain nodes (assuming you chose a sensible hash function). Consistent Hashing doesn't guarantee that but with enough vnodes it's probably not going to be an issue
4) Consistent Routing may be faster - in normal operation it should be an order Log(N) where N is the number of nodes * the replica factor for vnodes. However, if you don't have a lot of nodes (I didn't) then HRW is going to be probably fast enough for you.
4.1) As you mentioned wikipedia mentions that there is a way to do HWR in log(N) time. I don't know how to do that! I'm happy with my O(N) time on 5 nodes.....
In the end, the simplicity and the stateless nature of HRW made the choice for me....