Here is quote from cassandra documentation about writes (LINK)
If all replicas for the affected row key are down, it is still possible for a write to succeed if using a write consistency level of ANY. Under this scenario, the hint and written data are stored on the coordinator node, but will not be available to reads until the hint gets written to the actual replicas that own the row. The ANY consistency level provides absolute write availability at the cost of consistency, as there is no guarantee as to when written data will be available to reads (depending how long the replicas are down). Using the ANY consistency level can also potentially increase load on the cluster, as coordinator nodes must temporarily store extra rows whenever a replica is not available to accept a write.
My question is: is writing to cassandra slower if we use consistency level of ANY than writes when we use consistency level of ONE ?