Aren't we talking about a completely static situation.
No, there is nothing static in Lewin's paradox.
He said: I'm gonna show you how two voltmeters connected in parallel can indicate two different voltages.
And everybody was, "yeah right, maybe if one is defective, you are trolling us, right?". And then Lewin said something like: "you know what, even more, I'm gonna make one show +0.9V, and the other show -0.1V, both in parallel, how about that, do you believe me?". And everybody was: "chill down professor, you must be drunk, or something".
Then the professor cobbles up a circuit with 2 voltmeters in parallel, and "bang!" he released a full blown EMP (Electro-Magnetic Pulse) in the middle of his circuit. And one voltmeter goes +0.9V, the other goes -0.1V, just like he predicted, yet with both voltmeters connected in parallel.
And the professor is: "told, you!", and everybody else was:
Then after a second, "wait a minute, you weren't suppose to do that!" (as in, we all assumed a static situation, or else said a conservative field).
Well, "assumption is the mother of all fuck-ups", I never said it was static, and my point is one of the most glorified of yours EE rules doesn't hold in some very particular situations, like I just shown you with my clever circuit and this EMP, or else said instead EMP, a non-conservative field for the most pedantic, sais the professor.
Well, the professor never actually said all those words, that was just my artistic rendering of how the whole debate started, technically.-----------------------
From here on, even more human feelings and emotions are thrown into the game, electricians and engineers saying "my rules you point out as limited/sometimes wrong are working just fine for me, and I have my ways to deal with that particular EMP you showed, we use induced voltage in the probing wires instead", and the professor said "but that really is because your rule doesn't hold for non-conservative fields", and so on.
From here, each side gets more and more stubborn into its own interpretation, and bang!, 40 pages of fights on EEVblog only, and countless other debates elsewhere!
See for yourself at minute 50:50 (and those experimental results are not coming out of nowhere, it was all explained how something like that is possible, just watch the lecture(s) preceding the minute 50:50 demo):
8.02x - Lect 16 - Electromagnetic Induction, Faraday's Law, Lenz Law, SUPER DEMO
Lectures by Walter Lewin. They will make you ♥ Physics.