One point to be noted down is that negative beta still allows the company to have positive gains even when the overall market as well is reporting positive gains. As CAPM says,
E(R_stock) = RFR + beta( E(R_mkt - RFR) )
e.g. RFR= 5%, R_mkt = 8%, beta = -1.5,
E(R_stock) = 5% + (-1.5)*(8%-5%) = 5% - 4.5% = 0.5%
Negative beta only means that statistically direction of the return on overall market and on the given stock are opposite, doesn’t necessarily mean the sign of total return should be opposite versus stock market. So, if the company can survive very low returns while overall market is doing good, it can go get a killing when everyone else is doing bad. So, having a negative beta doesn’t necessarily mean that the company would have to go bankrupt in the long run.
Also, it appears to me that beta of a long-short hedge fund, say, would change over time (even change in sign) depending upon whether the fund is net short or long. Long-short fund would have the flexibility to go net short during a economic downturn and hence have a negative beta, and go net long during an upturn to have a positive beta.
And, beta assumes that risk is symmetrical. There could be companies with asymmetrical risk, those that have good returns when market is doing bad, but not symmetrically as bad returns when market is doing good.