I can confirm knowledge of this as well
This is one way in which the current crisis is self-limiting. It was brought about because SVB took lots of deposits when rates were low and invested them when bond prices were high, and now they don't have liquidity without taking a loss. But if banks take lots of deposits now and invest them when bond prices are low, their average cost goes down and it's much easier for them to satisfy customer withdrawals without taking large losses.
It becomes a crisis again if all the banks start failing at once, because then the likely consumer behavior is a flight to hard cash or crypto rather than another bank.