From what I've seen, some family owned ones do, as they're run for the long term (rather than by CEOs with an average tenure of less than 2 years and who thus are fine with damaging long term prospects for short term profit boosting as its the latter that dictate the size of tbeir bonuses) so don't want to damage the name of the company and sometimes are even run in a way that reflects the owner's morals and principles.

Market listed companies or even private ones with lots of "investors" as owners (such as the bigger startups) almost never have any morality or, in the case of the latter, reflect the typical morality of the kind of people who are good at getting investors, which tends to be the in the area from the "flexible with the truth" salesman all the way to outright fraudster.

Investment nowadays is pretty short term, amoral and fickle, and this ends up indirectly leading to overwhelmingly certain kinds of personalities ending up leading companies and certain management styles being used, both high on the more sociopath end of the spectrum.

I think the bigger a corporation is, the more shitty things it had to do in order to reach that status.
There are some good companies with a moral code, but they'll never become competitive with the big dogs in our current capitalist system.