[Mitko Gorgiev (OP)]

From the picture above, magnetic flux is least dense halfway between the magnets, hence a loop moving upward from bottom to top will experience high - low - high flux density.

Have you heard of homogeneous magnetic field? When the two magnets are close enough, then there is no such thing as "high-low-high".

Besides, how would you apply the Fleming's right hand rule to determine the direction of the induced current in all the variants?

[Bored chemist]

Have you heard of homogeneous magnetic field?

Yes.
The Earth's magnetic field is pretty close to homogeneous over areas that we typically consider in experiments.

But apparently you have not realised this

I still cannot figure out how the Earth inductor contradicts my assertions.

[Bored chemist]

Besides, how would you apply the Fleming's right hand rule to determine the direction of the induced current in all the variants?

In what circumstances do you think Fleming's rule does not apply?

[hamdani yusuf]

Have you heard of homogeneous magnetic field? When the two magnets are close enough, then there is no such thing as "high-low-high".

Yes. I've even demonstrate it in my video about moving magnet. In that case, no electric current is produced.
In your scenario, it can be achieved using magnets with very large diameters. If the magnetic field is truly homogenous, no electric current would be produced.

[Mitko Gorgiev (OP)]

(it doesn't matter whether I say "induced current" or "induced voltage", since both have the same waveform)

Please stop posting dross like that. It's true in a single idealised case where the load is a pure resistor.
In the real world, it's wrong.

Posting dross, LOL? Your knowledge about electromagnetism is so poor that you don't even know that the voltage and the current in a generator are always in phase, regardless of the character of the load, resistive, capacitive, inductive, whatever!
I apologize to the readers of the forum that I go back to this question, but I have forgotten to answer the know-all to his insults.

[Bored chemist]

If I connect a generator to a capacitor so that it generates an AC voltage, do you accept that the voltage at the generator and the capacitor is the same?

Do you accept that the current is the same?

Do you accept that the current in the capacitor will be out of phase with the voltage across it?

If not, you will need to explain how it's possible.

And, of course, those 3 being true forces you to accept that the current and the voltage in the generator are not in phase.

That's not the only proof that you are wrong, , but its the easy one

[Bored chemist]

I have forgotten to answer the know-all

Says the man who claims that the whole of modern science  is wrong.

[Colin2B]

Your knowledge about electromagnetism is so poor that you don't even know that the voltage and the current in a generator are always in phase, regardless of the character of the load, resistive, capacitive, inductive, whatever!
I  to the readers of the forum that I go back to this question,

Readers of this forum know you are wrong, and indeed anyone who knows high school physics, and every electricity generating company in the world knows it.
I and many others have done the experiments years ago, done the measurements, and can confirm that you and not @Bored chemist are wrong, very, very wrong.