I don't think the so called "14th Amendment route" even exists as described. There is a congressional procedure for removing disqualification in the amendment, but the actual disqualification procedure is never described. As far as I can tell it was a judicial procedure. There was enforcement legislation passed in 1870, but it was repealed ages ago.
Aside from being a horrible, nation-breaking idea, disqualifying via the 14th Amendment is probably not a legal possibility without a conviction of some kind.
It’s also not super clear that Section 3 of the 14th actually applies to the President anyway. It says, “
No person shall be a Senator or Representative in Congress, or elector of President and Vice President, or hold any office, civil or military, under the United States, or under any State, who, having previously taken an oath, as a member of Congress, or as an officer of the United States, or as a member of any State legislature, or as an executive or judicial officer of any State, to support the Constitution of the United States, shall have engaged in insurrection or rebellion against the same, or given aid or comfort to the enemies thereof. But Congress may by a vote of two-thirds of each House, remove such disability.Now, theoretically POTUS an officer of the United States, but they singled out the
electors for President and VP. You’d think if the drafters envisioned that section applying to the President themselves, they would’ve stated so more clearly.