Longer lives would help people be more sustainable because the problems of future generations would become problems of this generation.
If it is the former (which I really doubt), then longer lives can help. Or else, it will be just the same.
A more realistic answer might be publically funded companies are answerable to the masses (people who buy shares), and the masses only care about the quarterly reports. And again, longer lives will not help much here. Because you buy a share for you to make a profit out of it. Even if the public is fully aware of the environmental issues, I am not sure people will take that into consideration while buying shares.
Again, longer lives won't help us there.