Your source says a peak of 86%, Gallup got 90% but either way it was an overwhelming majority.
The media told all sorts of lies to justify the war in Iraq, more recently, the New York Times published a false story about Hamas committing mass rape, if you want to go further back they lied to get us into Vietnam, and in every case it takes time for the lies to be exposed and by the time they are, fewer people see the retractions and it's usually too late to do anything about it anyway. Even when they aren't lying, they're using biased language and framing to push their agenda, and their agenda is, as I said, always pro-war, because war sells papers and if they're hostile to the White House (especially with Trump in there) then they'll get press passes revoked and won't be privy to information they would otherwise receive. Never in my life have I seen widespread media condemnation of any military action (unless you count the withdrawal from Afghanistan), and I believe you'll see the same thing if you look in the past, in conflicts like Vietnam. When Trump launched an unprovoked missile strike on Syria, during his first term, these people jumped over each other to praise him, to say that "that was the moment he became presidential," even publications that had been very critical of him before.
None of the media people (just like none of the politicians) were ever held accountable in any way for lying the public into a war, which set a clear precedent that they can do so freely going forward. Worse yet, it's often the very same people in similar positions of power. If you think that they're trustworthy and not biased, then I've got a bridge to sell you.