Well I am an American that doesn't trust institutions by default, so to that end I fit your description here. I'm not sure how universal it is though, we have plenty of institutions here that people do trust and depend on every day.
In this context, I think it's less about an individual's trust of institutions and more the institutions mistrust of the individual. Companies don't have to send fired employees home immediately, they only do this because they don't trust the individual to act appropriately. There's probably a bit of a death spiral there, where both sides continue to mistrust each other further, but the individual lacking trust of institutions alone wouldn't get them locked out as soon as they're notified that they've been fired.
In this context, I think it's less about an individual's trust of institutions and more the institutions mistrust of the individual. Companies don't have to send fired employees home immediately, they only do this because they don't trust the individual to act appropriately. There's probably a bit of a death spiral there, where both sides continue to mistrust each other further, but the individual lacking trust of institutions alone wouldn't get them locked out as soon as they're notified that they've been fired.