...I have repeatedly said the spins that are responsible for the permanent magnetism. And when fully magnetized all those spins are aligned.
This is repeating and denying objections, rather than answering them. "Fully magnetized all those spins are aligned" is a tautology. And "all those spins are aligned" is false. Spins can have different orientations from the macroscopic field, this is the case in magnetic domains.
I don't see the point of denying this fact since it is the statistical average orientation that counts, so an external field could induce a current in the loop that is the spin even if it is not perfectly aligned, it doesn't even contradict your main point.
But the many different phases of their off axis direction means that we do not see any off axis magnetization except when their Larmor phases are made to coincide. Thus it is reasonable to imagine an array of many effective spins (actually a small number compared to all the atomic spins) that are aligned.
Obviously, because we only see the macroscopic component, the resultant of the magnetic dipoles of all the electron spins. But the vector resultant of superimposed dipolar magnetic fields, in this case those of the spins, do not imply their alignment in this axis, this is elementary vector math. The resultant of vectors might not even be in the axis of any of them. But again, this is secondary, it doesn't contradict your main point.
That is just nonsense, there is no way that the field around a Helmholtz double ring current is the same as that around a cylindrical current.
Look at the field lines of Helmholtz coils: they rather closely follow those of a solenoid. This is perhaps not as good an approximation as the cylindrical current, but certainly not nonsense.
To believe that there is only one way to model a field is a mistake. The proof is obvious: with the billions of billions of magnetic loops that constitute the spins in a magnet, one can inversely model a macroscopic field! With only one thousandth of this number, it can be modeled in the same way. The same field can be obtained in an infinite number of ways. Again, this does not contradict your main point.
But to the question that may contradict your point:
"What allows you to affirm that these magnetic dipoles that constitute the electron spins, are and remain well in the axis of the external field rather than to compose with it and between them their orientation while maintaining constant their individual current?"
Where would be your factual answer?
Why wouldn't the spins keep their current constant, and respond to the external field by re-orienting themselves, while of course keeping their dominant in the axis of the macroscopic field? For this too is compatible with observations. So do we have experiments that would prove that the current in the spin could change? No answer. Too bad, because your main point is based on this crucial point.
Until proven otherwise,
the magnetic moment of the electron is considered constant, which implies the constancy of the current when we see the spin as a current loop.
I understand that you assume that the current in the spin can vary, but it is necessary to say that this is only a hypothesis, not a fact, and to stop denying the objections arising from different hypotheses that are more in line with the currently accepted theories.