TLDR: What we call money (e.g. the euro dollar mentioned in the post), is not money. This "money" are only liabilities moving around and which are, maybe, enforceable by law.
Discussion
I don't think it's useful to argue by redefining terms. Money is what most people consider money. It's emergent from how we interact in society and also from how we use language.
There might be an older concept of money where bank balances are not considered money.
It's similar to how inflation is now rise in prices. Even linguistically, it's nonsense, monetary base can inflate, but prices rise, but don't inflate. But everyone uses the new term and because language is (among other things) tool for communication, the best use is in the way other people understand words.
This goes beyond economics.
I agree. The scientific economic view on money is technical, where for common people it's mainly a matter of trust, a feeling, where the meaning of words is not implicitly clear.
Even economists, bankers, financiers, ... consider bank balances money.
So I'd say it's a self-serving redefinition so the author of the article has something to write about. 😅