People want an outcome and don't particularly care where it comes from, public vs. private. If one fails, they'll push on the other to find a leverage point. Example: A pundit can say some truly awful and damaging shit and it's legal under the law. But if you target their advertisers, that's the leverage point that matters.
>I'd rather live in a world where companies aren't trying to push their morals on me and have a central entity (govt) arbitrate the same (Believe me I see evil in both places).
A company should be free to push its morals on you, given that the market allows it, and their morals aren't illegal. Right?
Personally, in the current environment of profit-at-all-costs capitalism, the major flaws seem to be incentivizing short-term-thinking and negative externalities. When a company flexes morals that appear at odds with short term profit (e.g. Twitter), I tend to assume they are actually acting out of self-interest but are better able to grasp the long vs. short-term incentives, for whatever reason.