The share price reflected the company’s state, but the share price didn’t induce the companies state. Debt and obligations were what brought down Lehman, not the stock price. (Well, not directly - if the stock had been worth a lot they could have raised capital… but just like their credit spreads blowing out, their stock price drop made capital raising impossible)
The same way that betting on a horse doesn't make it go faster, there is a one way relationship between companies and their stock