I’m aware there are sections. Does this mention include the bit that we are discussing? Judge Luttig interprets the meaning to include the president.I agree with your basic point, but I have to correct you. The 14 amendment does in fact mention members of Congress. "No person shall be a Senator or Representative in Congress ...".
It does not specifically mention President.
The fact that it doesn't specifically mention President does seem a little odd. But the idea that this would not apply to the most powerful position in the government is extremely odd.
I’ve not read the 14th so not sure what is stated in the various sections. Do you know, and can expand? I’ve seen Luttig interviewed but not aware of this bit you mentioned.