Similarly if one says B tree or LSM tree that doesn't mean they are also talking about a consensus algorithm.
The difference between a blockchain and a merkle tree in no way resembles that between a B tree or LSM tree. It's closer to the difference between a Binary Search Tree and a Red/Black Tree. They are both Binary Search trees and most operations are the exact same, but Red/Black Trees have an extra "color" attribute and rely on that for a better balancing algorithm than the "default" BST algorithm.
Multiple different heads is a tree. Multiple forks is very much a tree. I think it is Blockchain proponents that are overcomplicating things and bending over backwards to describe their Merkle trees as non-tree as possible.
Or did you just mean you can store the nodes in an array and index them by level? In that case I wouldn't call it a list.
[1]: https://en.wikipedia.org/wiki/B-tree#/media/File:B-tree.svg
Currently it's a massively popular buzzword that frequently means very little in reality. It's just being tacked onto everything whether or not it makes sense because e.g. the Long Island Iced Tea company switched their name to "Long Blockchain" and immediately had massive stock gains: https://arstechnica.com/tech-policy/2017/12/iced-tea-company... . Even in the cases where it is technically accurate, it's rarely a good or useful idea... but it helps get funding.
So in practice, "blockchain" currently means "you will magically get rich". Technically it's almost always a Merkle tree, or a less efficient structure (e.g. Bitcoin's core "chain" is basically a linear version, which is dramatically less efficient to verify to the root for any given block... because it doesn't need that quality. Though it also uses Merkle trees within each block).
This makes a verifiable log unsuitable for financial purposes since a adversary with lead pipe capabilities (or corrupt judge capabilities as the case may be) can block undesirable transactions at a single (or few) point of failure, whereas against a blockchain they'd have to target anyone with significant compute capacity.
On the other hand, verifiable logs don't need proof of work/stake/etc to limit hostile forking, so if the log is describing things rather than acting a ground source of truth (so you can just ignore it if it starts refusing writes), it's much more efficient than a blockchain.
Blockchains refer to any time you use a chain of hashes to prove a block of data and any data that came before it, has not been mutated.
The time keeper service that takes out classified ads in the new york times with hash blocks for the documents they timestamped to prove they were timestamped before a certain date, is a blockchain, because they include the previous day's hash.
Git, is a blockchain.
It's just hashes all the way down.
The random entropy driver in linux, is technically a blockchain, with how it works.
Which of these differences you see as important to the blockchain / non-blockchain distinction, depends on the precise definition for blockchain that you want to use.
That being said, even the CT website uses the term "ledger" to explain what the logs are: https://certificate.transparency.dev/howctworks/