And yet it is profoundly evident that material is spreading far and wide through channels you are apparently not clued into. For the most part, right wing social media nonsense has already run like wildfire through a significant chunk of the right before anyone from the left thinks to put up a Twitter post on it, because to a large extent it's the success of nonsense that makes it worth comment. Underneath what comes through for wider comment, there's undoubtedly a huge base of other garbage that never gets much traction. Next, just because the right wing media you are accessing doesn't explicitly address these issues doesn't mean they aren't influenced by them. So, a right media organisation might not spread vaccine skepticism, but they also decline to combat it so as to not antagonise their audience.
And herein perhaps lies part of this funny little bait and switch you're making about amplifying the signal. The reason right wing media organisations are staying schtum is this reluctance to oppose their audience, and secondly trying to conceal forms of embarrassing idiocy of their own "side" whilst allowing the idiocy to continue. And those are exactly the same reasons they don't want left-wingers talking about it either.
But they can't sell that to left-wingers, so they make up some argument that stuff is only spreading because CNN / left-wingers / etc. are talking about it. As if there aren't a ton of right-wing chat rooms, bulletin boards, Facebook pages and YouTube vids, and even Congressional Representatives from Georgia already busy hammering away spreading the gospel according to Q or whatever.
CNN's job is to report the news. If the news is Joe Rogan's medication, it's CNN's job to report it. What we might hope from CNN is that someone's going to point out that Joe Rogan's medication, according to the best available evidence, is bunk.