How is it not their fault ? The Bank run was caused by VC's telling their portfolio companies to pull their funds based on a weak signal. Raising money shouldn't have been enough to cause this kind of panic.
Sure if they'd all left their money there then nothing would have happened, but on the other hand, if a company has a large uninsured deposit at an under-capitalised bank, leaving the money there is arguably irresponsible. I don't really blame them for moving their cash elsewhere.
There's a difference between being able to withstand a bank run and being fully capitalised. To be fully capitalised the value of your assets needs to be greater than the value of your liabilities. You are allowed to value your assets at fair prices when you work this out. SVB did not have enough money by this measure and that is very very unusual for a bank. Despite this, you are right that even well capitalised banks cannot survive a bank. To survive a run you need to find a buyer for all of your assets right away, and you quickly run out of buyers, forcing the price down.
again its debateable. VC's caused all their portfolio teams to pull their money. Had they all relaxed and just waited SVB to raise... is there even an issue ?