Daniel Nevins, in Economics for Independent Thinkers, a book I mentioned the other day, thinks of non-bank lending as coming from savings and bank lending as created by fiat. I do not think in those terms.
Think of an economy that includes fruit tree growers, households, and banks. The fruit trees represent risky, long-term investments.
The fruit tree growers finance their investment with a combination of debt and fruit-tree equity. Households may purchase some of the fruit tree debt directly. This would be called non-bank lending. Banks purchase the rest of the fruit-tree debt and fund it with a combination of bank equity and liquid deposits. The fruit tree debt that the banks fund is owned indirectly by households.
In the aggregate, households hold everything. Not every household is identical, but in the aggregate they hold the fruit tree equity, the direct fruit tree debt, and the indirect fruit tree debt that comes to the household in the form of bank equity and liquid deposits.
Now, fruit tree growers are households, just like anyone else. So you can think of an increase in bank lending as a bank creating a deposit at the household of a fruit tree grower in exchange for more debt issued by that fruit tree grower. That may be the way that Nevins wants to think of it,, and he thinks that this makes it much different from non-bank lending, because the bank can create a deposit seemingly out of thin air. He would say that it does so without prior saving, although he adheres to the identity between current saving and current investment.
In contrast, I think of bank lending and non-bank lending as doing the same thing, namely funding the debt issued by fruit tree growers. The only difference is that with non-bank lending, households have a direct ownership of the debt, while with bank lending their ownership is indirect.
Households may have a limited appetite for direct holding of fruit tree debt. And they may have a less limited appetite for holding that debt indirectly. In that case, if fruit tree growers and bank managers become more risk tolerant, you may get an expansion of fruit tree investment along with an increase in bank lending. Conversely, if fruit tree growers and bank managers become more risk averse, you may get a contraction.
The bottom line is that I think that bank credit matters, just as Nevins does. But I am not comfortable with his semantics.