Most data paths don't need consensus for replication. You can implement ACID Transactions on top of many other replication algorithms for example. Ultimately the choice comes down to read/write ratios. Chain Replication has much better read throughout than Paxos and Raft.
It’s the case of 2F+1 versus F+1. Paxos/Raft offer fault tolerance where as other replication algorithms don’t. If you have a node failure in Primary-Backup or Chain for example you need to reconfigure before committing more writes. However in practice and certain environments reconfiguration can be faster than or the same as a leader failure in Paxos that requires running Phase 1 again.