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As private property the concept of "free speech" doesn't come into play as Reddit isn't the US government.
People tend to improperly conflate “free speech” with “1st Amendment to the US Constitution”.
While the 1st amendment was based on the concept of “free speech”, people are correct in pointing out that it specifically applies to 1: political speech (ie: “I hate my congressman, and the president is a moron”) and 2: official government response to that speech (forbidding the passing ordinances saying things like “insulting the president is grounds for a $100 fine”, etc.)
That being said, the idea of “free speech” and what it further represents (the idea of a “marketplace of ideas”) is very much an important facet of any democratic society (speaking socially, regardless of politics to be clear). It is the social concept of the marketplace of ideas and free speech that should absolutely matter in this context (speaking to privately owned platforms generally, not this specific instance, considering the complete lack of context in the screenshots lol).
I mean legaly you're right but free speech as a concept still applies to private companies they just dont have to follow it