In principle impersonation is what "secret codes in a locked briefcase" defends against.
Given PAL was allegedly all zeroes at one point, I assume the secret codes have at various times been 12345 and the birthday of the then-sitting president's current mistress; if so, it's only helping in principle.
The "only the president can launch a nuclear strike" myth. If it was that easy you'd only need to blow up the White House with one nuke and take out America.
There are "continuity of operations" procedures to prevent a "decapitation" strike killing the President & VP, thus preventing the US from retaliating [0]. This was a plot point in Tom Clancy's novel Debt of Honor [1] (which I distinctly remember reading right before 911, as I had to commute via public transit and commutes were so long I read books).
I'd assume the VP has their own nuclear suitcase. Unless they're forced to choose a random number, this probably makes impersonation easier as it's n points of failure where n is the number of people who have their own nuclear suitcase.
At this point I pretty much imagine that some time in the future that you can be hooked to medical equipment and someone/something will state the following to you
"Do not think of the nuclear weapon pass phrase"
But you can't not think of it. The phrase clicks in your head and the electrical signals are picked up and decoded by the bedside computer. You've betrayed mankind. The nuclear war of the AI has begun.
> The phrase clicks in your head and the electrical signals are picked up and decoded by the bedside computer.
It wouldn't even have to click in your head if a brain scan could model your entire consciousness and then simulate every possible interrogation method until something works.
Even inputs that aren't currently possible for the body to report. Entire new levels of pain, intoxication, or anything.
But then a sufficiently sophisticated AI could just impersonate the president and tell the meat jarheads to fire the weapons. What then?