Assumptions: RF = 3
In some video on the Internet about Consistency level speaker says that CL = ONE is better then CL = ANY because when we use CL = ANY coordinator will be happy to store only hint(and data)(we are assuming here that all the other nodes with corresponding partition key ranges are down) and we can potentially lose our data due to coordinator's failure. But wait a minute.... as I understand it, if we used CL = ONE and for example we had only one(of three) available node for this partition key, we would have only one node with inserted data. Risk of loss is the same.
But I think we should assume equal situations - all nodes for particular token is gone. Then it's better to discard write operation then write with such a big risk of coordinator's loss.