Berenson responds to that laughable description all the time. He loves nothing more than to call himself that when he gets proven right - again - often at the expense of writers in the Atlantic; I'd guess a quarter of his posts consist of "ha ha" type responses where he juxtaposes a tweet he made early in the pandemic alongside a government announcement or newly released scientific paper saying the same thing.
Neither of the two links you provide to his blog take any of the claims from the Atlantic piece and refute it. He mocks the title of the Atlantic piece but does not respond to its content. As far as I can see, it's bluster, pure rhetoric
Do you have any instances of Berenson actually attempting to refute specific claims made in the Atlantic piece?
If you don't read his blog then you probably shouldn't make claims about what he does or doesn't say in it, nor about the scientific literacy of his readers (much higher than average - they will happily peer review studies he posts and highlight in the comments when he's misinterpreted them or when the study is bad). So sure, he has responded to the Atlantic directly, many times.
The Atlantic on why Berenson was wrong: "[he is] arguing that cloth and surgical masks can’t protect against the coronavirus (yes, they can)."
The last three words are links to junk studies or articles of the sort that suddenly became fashionable after April 2020, after many years of studies saying there was no such evidence. But Berenson was and is correct. Mask mandates don't stop transmission or protect against COVID and this has been proven over and over again. Here's Berenson responding to this point by refuting it with another study, but this one is actually high powered and has a reasonable methodology (it isn't a dumb modelling study or lab experiment):
"On Laura Ingraham’s show, he downplayed the vaccines, suggesting that Israel’s experience proved they were considerably less effective than initially claimed"
They were claimed to be 95% effective at stopping infection after two doses. Nobody has believed this for a long time, not even governments, which is why Israel is now up to 4 doses and it still isn't working. This claim was a correct reading of Israel's data.
Now, Berenson shoots from the hip. He likes to treat Substack as if it's Twitter and sometimes publishes stuff that turns out to be wrong. But he doesn't have to be right 100% of the time or even 50% of the time to beat the media outlets criticizing him. The Atlantic should especially pipe down because it's probably the Pandemic's Wrongest Publication:
They've served up some great headlines in recent times. October: "Four measures that are helping Germany beat COVID" (Germany is currently one of the most restrictive countries in Europe). December: "We know enough about Omicron to know we're in trouble" followed by in February: "Open everything: the time to end the pandemic is now".
Anyone reading Berenson has been consistently about 6-12 months ahead of the "mainstream" journalism curve. Anyone reading the Atlantic would have been exposed to a whiplashing of overwrought nonsense that bears no reality to what actually happened.
https://alexberenson.substack.com/p/the-pandemics-wrongest-m...
https://alexberenson.substack.com/p/cdc-director-walensky-re...
https://www.google.com/search?q=%22pandemics+wrongest+man%22...
If you think he didn't respond to that then surely you don't actually read his blog.