You need to re-read those articles. They don't say banks "don't lend depositor funds" At least the first couple on that page explain that banks don't "need" depositor money to lend and in fact they generally lend out money they borrow from a central bank since their loan outlay tends to outpace their deposits.

But outside of the central bank reserve requirements the banks are free to loan our or otherwise invest their depositors cash, which is in fact prudent since cash "loses" value from inflation. Putting that excess funds into loans or other investments can all lead to what happened to SVB if a run on the bank over runs the reserves.

Ugh. Okay, banks don’t take the money that you deposit, turn around and loan it at a higher interest rate directly. But they do use the money you deposit to balance their books and meet the necessary cash reserves that make those loans possible, which is, in effect, lending out your money.

When people request their money back en masse, banks face a liquidity issue because of the required fraction reserves they must keep. Directly or indirectly, without your deposits banks cannot lend out money.