The illusion of security

As layoffs accumulate from big profitable companies across the board: Boeing, Microsoft, DHL, etc. I've met with a number of people who have worked at these companies for 10+ years and now find themselves out of work for the first time and don't know what to do about it.  These big companies historically offer people the illusion of security -- they're supposed to be safer than small companies.  And while big companies and their big piles of cash do offer security, I'm beginning to wonder if it's not safer to be in a small profitable company than a big one.  At a small profitable company, your contributions are likely more critical and impactful than in a fortune 500 company.