For some reason, there is no current software implementation of a "globally consensus-replicated, peer-to-peer, append-only, signed-message log store, with Turing-complete programmable matviews that pump by reducing over the store's log messages as CQRS commands per some set of validity rules"...
other than the ones that are also permissionless to transact upon, and thereby are "blockchains."
I find that almost all (non-blockchain-space) tech people who find "blockchains" interesting as a concept, and see potential use-cases for them in system architecture design, are actually thinking about the uses of this taxonomic parent category — whether they realize it or not.
But the only way to currently talk about this concept — in a way that doesn't require you to first give an extensive definition of the idea you're talking about — is to use the word "blockchain", even though that's not precisely what you mean.
Since there's no software system that's just one of these things, without also being a blockchain, there's no word we've invented to talk about the set of such software systems.
If someone came along and actually made a piece of software that was all the things a blockchain is, except for the "open submission of transactions, with spam control using eStamps that necessitate the introduction of a whole economy into the system that it doesn't otherwise require" part, I think it'd become a huge thing among tech crowds, and "blockchains" as infra systems would be completely forgotten about in favor of (whatever name these parent-category systems would be given once we have any to talk about.)
Sadly, I think there's very little interest in doing this, for two reasons:
1. Anyone who builds such a system knows that with just a little bit of extra implementation effort, they can introduce such an economy, turning their thingy into a "blockchain", and potentially making a bajillion dollars by being the first one in the door of that new economy as it grows with usage.
2. Most blockchain node software is designed to be flexible-enough in its definition of a blockchain network, that it can be flexed toward being used in a "Proof-of-Authority" network implementation that doesn't actually have an internal economy. And, because blockchain node software has a lot of engineering effort already invested into it, vs. systems of this parent category that have none yet — it makes a lot of sense, as a systems engineer who just wants an infra component to slap into place, to use blockchain-node software for these use-cases, configured into a Proof-of-Authority mode where the economy logic is vestigial. It feels like an "overkill" solution, but the alternative would be DIYing a parent-category system and having to learn all the Hard Lessons that blockchain-software engineers already figured out about non-repudiability, storage architectures amenable to state garbage-collection, scalable consensus mechanisms that don't halt-and-catch-fire during hard-fork network upgrades, etc.