Never forget Stanislav Petrov. In the end it’s a human that needs to press the button, at least for now.

Fair (with a special ominous shoutout to your “at least for now”), but do you think Petrov’s or any similar individual person’s decision making in this scenario would involve any considerations regarding the size launching nation’s or block’s arsenal? I.e. “Launch detected from US… hm, better play it safe. Launch detected from France… eh, hit that button!”?
I mean… nuclear threat is nuclear threat. I am not questioning the effectiveness of that threat, I’m questioning the premise of the article.

However, “what really influences Russian decision-making is the scale of US deterrence”, he said.

I find that hard to believe, considering that nuclear weapons have no strategic or tactical military applications whatsoever and only serve as an (effective) PR-campaign for scaring opposing civilian populations.
… does the Russian civilian population have any influence on Russian decision-making? Is there any point in running expensive PR-campaigns against them?

Can’t blame anyone for not wanting to risk their lhealth or even lives. More and more people doing that is probably a good thing in general. Brings everyone closer to making the old adage “imagine there’s war and nobody comes” a reality.