It was a major red flag! You're right about their liabilities, but their assets are mostly longish duration bonds. When interest rates go up their main customer base (startups) will have a harder time raising money (bad for them) and the value of their bonds will go down (because new bonds offer more interest). And now they're forced to sell these bonds at a loss to cover the money outflow (customers leaving). They're deep in the hole with no way out.
Basically SVB failed basic risk management, and they deserve to go down. You can't promise your customers they can take their money out at any time and then turn around and invest that money in longer duration assets you can't liquidate. Just irresponsible.
Execs selling millions worth of shares in the past weeks is also classy.