The FDIC will cover the portion that they couldn't recover from bank assets. The depositors will be made whole (up to $250k), but it may take some taxpayer money to do that.
The subject of OP's post is the non-insured deposits.
No one, yet, has expressed doubt on the credit of the FDIC.
Sub 10% of SVB's deposits were insured. Meanwhile SVB's HTM bonds have taken a 20%+ loss which will, barring an acquisition, cause non-insured deposits to take a 19%+ haircut.
Combined with an indeterminate period of waiting. So start ups with cash in SVB should expect to lose 20% and find alternative sources to make payroll, pay payroll taxes, and pay suppliers. I expect we will see many startups close us shop when founders are unwilling to bail out their own company's balance sheet with personal money.