I guess only having enough nukes to destroy the world a few times isn't enough already.
This meme is old.
The reason you have to have enough nukes to destroy multiple enemies several times over is because
the main target in a nuclear war is the enemy's nuclear weapons. If the enemy launches a successful first strike you need to have enough nukes and delivery systems to retain a retaliation capability. Not to mention you have to retain a second-strike capability in the even of an exchange to begin with.
So if we only have
exactly enough nukes to destroy the enemy, and they launch a first-strike and knock out maybe 1/3 of them (whoever strikes first in nuclear was has a major advantage), then where does that leave us? Nuclear strategy is much more complicated then is commonly perceived in pop culture.