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Back in the mists of time near the start of this thread, several people including me, said it was all to do with conventions.
By convention, electric current goes from positive to negative. The fact that electrons go the other way is immaterial.
By convention, magnetic fields curve from north to south.
It comes down to whether the conventions were made up to suit a right hand rule, or someone noticed that a right hand rule fitted the conventions.
Reverse the electric current convention and retain the magnetic field one and you get a left hand rule.
Reverse the magnetic field convention and retain the electric current one and you get a left hand rule.
Reverse both the magnetic field convention and electric current one and you get a right hand rule.
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