You could argue that an overly cautious founder might cut all their employees off immediately out of an abundance of caution, but that would be self-immolation.
As a non-lawyer with zero credibility, I’d be shocked if any founders of companies that can’t make payroll because of this are at risk of the corporate veil being pierced. SVB was based in California, subject itself to California law, it would require some extreme mental gymnastics from a judge to believe that a company that can’t make payroll because they used SVB behaved inappropriately in this situation.
Again, I have zero credibility, but I’d expect when the dust settles, the only companies we see get in any trouble will be the companies that do some insane illegal things in a panic because they get caught up in the tidal wave of fear. Founders withdrawing millions into their personal accounts and then losing it by buying crypto or going to vegas to do a fedex with their remaining cash or something equally insane feels much more likely an outcome.