This simply isn’t the case.I heard prominent counter opinions over invading Iraq & WMD's in the lead up in 2003. An NPR interview with a retired Marine general at the time sticks out in my mind, and was very influential in my skepticism of the invasion. NPR is, in part, publicly funded by the US government. I don't think that any media funded by Russia is voicing similar skepticism over the Ukraine invasion.
Also don't ignore the matter of degrees. I'm not saying that media isn't influenced, that Western leaders don't attempt their own manipulation. I'm saying that Western media is at least a little (often a lot) more open than Russian media with respect to POV's that disagree with the "state".
By saying "this simply isn't the case" you are casting it as a black & white issue, when in reality it's all shades of gray. And if accurate information is the lighter side, then Western media is shifted towards lighter shades of gray than Russia.