There would only be a problem if the bank's credit deteriorated in its risky assets, enough to freak depositors out.
Any number of reasons, particularly if all your customers are in the same industry. If you're "Silicon Valley Bank" and there's a downturn in Silicon Valley, well, here you are.
As Levine put it, it’s not an asset problem, it’s a liability problem.
Right now there will be a lot of chatter if the root cause was industry concentration, mark to market, junior VCs scaring gulible founders, or as you pointed out: duration risk.
I think in five years the common narrative will be about duration risk.
To spell out what you hinted at: SVB will collapse at some point in the next few years. The only scenario they survive is if they survive this bank run, and then soonsih the fed lowers interest rates by a ton.
Otherwise even without this bank run SVB will still slowly be forced to sell off more and more HTM assets. Core reason being they cannot cashflow wise offer market rate interest on deposits. Clients _would_ move their money to better paying banks, not everyone but too many.
Thus this bank run only accelerates the inevitable. The interest broader note is how other bigger banks have or have not managed their exposure to duration. And special eyes towards the Japanese MegaBanks, double so if the bank of Japan does raise rates.
The issue is that the sale value of their reserves has dropped below that nominal value. If you take in $1000 of deposits that you're paying 1% interest on and your reserve against that is a 10-year $1000 T-bill with a 2% coupon, you'd think you're fine, right? But if interest rates go up to 3%, you can't sell that T-bill for $1000 any more; if you can hold it to maturity you're fine, but if your customers start pulling their deposits you're in trouble.