If they show a news program that's damaging to Vought, that it would be fair to assume that at least some of the media is not run by them. If Vought was actually all-powerful, then Singer wouldn't have won the presidency running on an anti-Supe platform.
I think the show has made pretty clear that Vought is extremely powerful, certainly much TOO powerful, especially with its ties to the military and private security, and the amount of Congressional votes it has essentially purchased. But it has also not yet made the country into an out-and-out Supe-run autocracy; that's the threat that seems to be posed for this season and the last season.
The Boys has no continuity, the writers retcon things from episode to episode.
Vought's an omnipotent megacorp except for when the protagonists need a win.
Public opinion on Vought in-universe doesn't match up to what's established, it just shifts according to the plot.
Homelander can literally hear a pin drop but can't hear Hughie in the vents.
Soldier Boy's blasts can blow away supes with super-toughness because they strip away their powers but Queen Maev survived both the blast and falling out of a skyscraper all the way to the ground.
Black Noir can take IEDs going off in his face and heal from a supe with explosive powers using them while he's standing next to him but Homelander shoving an arm into his torso is enough to kill him.
A-Train's speed varies depending on whether or not he should be able to show up to someplace/catch someone fast enough.
Soldier Boy fought the Nazis right up until the show's writers decided that he didn't actually fight in WWII.
Tek-Knight is a true crime star who somehow is also an action supe who crippled a person while rescuing them.
Homelander wouldn't have saved Teddy Stilwell but the writers didn't want Butcher to have killed a kid so they gave Teddy teleportation powers to get him out of the house before it exploded.
I've accepted that the writers are writing the show by the seat of their pants, if I wasn't willing to accept the constant changes (and the gore, scatological humor, etc.) I wouldn't watch the show.