You are equating liquidity with solvency, it seems to me.
People don't seem to want to admit insolvency is inherently worse than illiquidity.
It may be empirically true that entities can hide insolvency.
But it doesn't seem logical for anyone who knows they are insolvent to ignore it.
If they are solvent, sure, ignore the possibility of a bank run. Why should it start?
But if they are insolvent, then someone will lose their money, and you and everyone else who finds out should want to not be last in line, which should make it collapse almost instantly, provided that the information leaks to any number of people.
It seems sometimes like a lot of things are sort of like Wile E Coyote not falling until he looks down. Something can be widely known, but not believed until some catalyst makes it impossible to deny or rationalize or BS.
Still, learning that something is insolvent ought not to follow that pattern too much, because again, it doesn't matter if everyone else in the world is ignoring the problem, if you are certain it exists, you need to act.