There's significant difference in opinion of what part of the Bitcoin protocol is the "blockchain". Usually, people talk about the persistent stuff being the blockchain. In that case, bits sitting in storage don't implement a protocol, therefore don't have a consensus mechanism.
In other words, the blockchain is just the data structure, the consensus sits outside of that as a distributed protocol.
Of course, parts of that data structure enable the protocol to work, which is the most interesting property of the blockchain, but that's just blocks, merkle trees, and chained signatures.