> The Copenhagen interpretation makes a leap of faith with the Born Rule as it is based on Maxwell-Boltzmann statistics.
The Born rule was introduced in Born's paper on description of a scattering experiment with help of the \psi function that is a solution of Schroedinger's equation. Maxwell-Boltzmann statistics had nothing to do with it.
Because thermodynamics at the time espoused normally distributed error as dictated by Maxwell-Boltzmann statistics; Born used a normalized wave function to solve Schroedinger's equation.
Thermodynamics and Linear Algebra have gotten more advanced, since then.
The Born rule was introduced in Born's paper on description of a scattering experiment with help of the \psi function that is a solution of Schroedinger's equation. Maxwell-Boltzmann statistics had nothing to do with it.