Well, no it doesn’t.
Should the Secretary of State have an NBC standard?
The 12th Amendment specifies the NBC qualifications of the VP, but says nothing about anyone in the line of succession, which is up to Congress. Those in the line of succession that don’t meet the NBC standard are simply bypassed.
I guess you’re right, if they are not qualified, they just get skipped until they get someone who is.
I mean, back when we upheld the Constitution.