How to compare 2 rotation values

It occurs to me now that this can be roughly illustrated by this article and the examples.
Quaternion - method .setFromBasis( e1, e2, e3 )

https://hofk.de/main/discourse.threejs/2021/CarRacing/FlightRouteQuaternion.html

CarRacingQuaternion

BasisToQuaternion

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