The novelty of Blockchain is that it's a way for everyone to agree about which blocks are in the chain, such that we're confident everyone won't change their minds later. The content of the blocks is irrelevant to the consensus, in which every participant will independently pick the longest valid chain it can see.

(In other words: yes, you've got it exactly right, but there are some details around incentives that tie creation of blocks to receiving some kind of benefit which mean that in practice someone will reduce things to money at some point)