It's quite possible, that Page, and Bezos don't see much value in collaborating with the press. Maybe that seems like a non productive use of time to them. For example, look how much Zuck is in the press.
They don't need it because they have sustainable businesses regardless of the press, so they don't do it. Musk wouldn't have a business without constant coverage and a strong brand (brand equity helps him cut deals no one else could).
I get your premise, however Blue Origin is sustainable for as long as Bezos deems it so, regardless of having a business under it. He has $67 billion in wealth he can liquidate to burn on anything he chooses; he's regularly selling off large blocks of his Amazon stake now. Burning $500 million per year will not matter in any meaningful sense to him, stacked against something he has decided is critically important. He's likely to be worth more than $100 billion over time and he's 52 years old - $500 million times 30 years is something he can afford if need be.