Trying to do brinksmanship only works if there is believability to the idea of you crossing the brink. Putin who doesn’t want anyone to be allowed to sit near him, constantly asks his friend-countries if they’ve been hanging out with NATO behind his back, and managed to fuck up one war with one tiny country this badly with the whole weight of the biggest nation in the world behind the effort, is very different from Khrushchev overseeing the cold war and the development of the nuclear arsenal and directly challenging the Cuba blockade, banging his shoe on the podium at the UN and screaming “We will bury you!” Putin may view the threat that he will attack the US as believable, but I do not think that anyone in the US or Russian government considers it a strong possibility and like I said I think the “not touching you” game (if that is in fact what he’s doing) just makes him look weaker to both parties TBH.

(I hadn’t even really considered the death sentence that is attacking the US with nukes as on the table for Russia; the nuclear option I was envisioning was attacking Ukraine and gambling that the rest of the world would be so against starting WW3 that they could get away with it.)