I'm afraid to say that this is completely wrong. Commercial banks do in fact create money via lending! The 101 textbook explanation offered here is at best outdated and at worst misleadingly perpetuates a myth that simply must die.
The Bank of England's note on money creation in the modern economy [0] is the place to start - and more or less reflects the explanation in the article.
[0] https://www.bankofengland.co.uk/quarterly-bulletin/2014/q1/m...