It isn't. CBS is owned by the Ellisons, who are big Trump supporters. They are absolutely complicit in attempts to quash dissenting voices.
You're right that the Streisand effect is in play here, but it's not 4D chess. It's garden-variety incompetence, because the policy makers in the government are too old to see anything other than broadcast TV as the most valuable medium.
> "Let's just call this what it is: Donald Trump's administration wants to silence anyone who says anything bad about Trump on TV because all Trump does is watch TV," Colbert joked.
I see that it's become harder to track because the White House doesn't disclose what he's doing as much, but yeah, lots of golf still.
But also, the few times I've been unfortunate enough to have to go to mega golf venues, the clubhouses generally have TVs prominently all over the place. So there is quite the demographic overlap.