Actually you will find that it has, in large part, been settled by popular consensus. Just read the dozen resolutions (since the 70s) that were before Senate hearings.
In each one it is made clear that at the minimum birth in the US, otherwise known as native birth, is a requirement to qualify. Soooo, if our senators, historians, teachers, various scholars, etc. ALL conceded to that requirement, how on earth can any self-respecting individual claim that there has not been a popular consensus? It’s bizarre. Anyway, Tribe stated not long ago that under the ORIGINALIST intent in the Constitution, Cruz would not be eligible.
Everybody said so (not really). No one denied it. It must be so. Tribe???? Tribe???? Is The Donald planning on appointing Lawrence Tribe to SCOTUS??? Tribe may teach at Harvard Law but he has REAL NY VALUES. Since you cite Tribe as an authority, that must not bother you! (She never denied it and it MUST be so if it helps The Donald).
What resolutions were those? Did they pass? Even if they did, who died and authorized Congress to redefine the constitution all by itself without so much as a by-your-leave to the 50 states?