> They aren't the same type of control at all, implying it is deeply disingenuous
I implied no such thing. I nor the parent post didn't even mention traditional media. And I freely admit, it's not the same type of control. But it is control. They control what type of speech is allowed, what gets amplified, what gets suppressed, and what gets banned.
To go with your analogy, they don't beat their kids, but they do ground them, take away their allowance, or make them go to bed without supper, until they learn to behave. And the owners of social media get to define what 'behave' means.