I'm pretty sure it's still just double entry. The point of double entry isn't how many times you write it down, it's that credits = debits, meaning take = give. "Double entry" is a bit of a misnomer since I can do double entry with a single entry like this: "INSERT INTO journal (account_1_id, account_2_id, amount) VALUES (...);" where amount is a signed number. The point is that there is a take and a give. In Bitcoin I might have 2 inputs and 5 outputs. That's not 7 entry or n-entry because double entry doesn't refer to the number of accounts or the number of entries. It's a huge misnomer like everything else in bookkeeping.
I'll add that it can't be triple entry based on your description since what your wallet records doesn't matter one bit. The blockchain is the sole source of truth, so that would be single entry by your analysis.
It's "triple" entry because the entity doing the recording is different, but if you want to get pedantic about the definitions it all sort of devolves. In the paradigms of normal single and double entry accounting it matters who records it. In crypto it doesn't really because it's all done by the trustless network ledger, but describing it as "triple entry" is an easy way to get at the heart of why a trustless ledger is valuable in terms of normal single/double entry accounting.
Double entry accounting is as old as the sun. The whole point is that you rob Peter to pay Paul. Peter gets an entry. Paul gets an entry. Credit Peter. Debit Paul. Those are your two entries. That's the "double" of it, the take and the give. It doesn't matter who records it. It's a zero sum game, and that's the point. It's why Revenue is a credit account (increasing with credit), because we take from Revenue to pay Cash or Accounts Receivable. If you prefer arithmetic over bookkeeping convention, you might say that Revenue normally has a negative balance. It might seem weird to keep robbing your Revenue to pay your Cash, but if you didn't then that income money would just appear magically. In double entry accounting it must always come from somewhere. There must always be a Peter to rob whenever Paul gets paid.
I've seen blog posts claiming crypto is triple entry, or some new paradigm too. Complete rubbish they are.
The core point is that the ledger is immutable. You don't have to trust Peter or Paul's version of the accounting.
Ultimately you're right, it's not "triple entry" it's just trustless accounting.
Then call it what it actually is - third party verification/confirmation.
That's not accurate either because there is no single entity third party that verifies it. If there was it wouldn't be trustless.
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