Again, you're quoting me out of context.
So many words that have nothing to do with the actual discussion. It's as if you were trying to create a smoke screen to hide the inconsistencies in your approach. The problem is that in almost every paragraph you write there is either a wrong concept, or a misconception, or a red flag betraying your limited knowledge. And the same is true for the two very long posts you wrote yesterday. I will try to collect all (well, most) the misconceptions and the false statement in separate posts by category, so that instead of an endless tit for tat, other users can benefit from a more organic discussion.
Let's start with a simple red flag.
Don't be afraid of the signs!
Regarding the following part of my picture, you wrote (emphasis mine):

https://i.postimg.cc/B6WVgpBm/screenshot-21.png
I see you noticed that you made the same mistake Lewin did and you got one of the volt meters backwards, but at least you caught it in time to put a text note that says I can flip the volt sign.
So yes, I'd like to flip the sign on the left-hand meter which reads 1V. You have to keep the meters all pointing clockwise or counter clockwise -- but all the same way for a given test -- around the loop. That's just the way KVL is. If you mix up your volt meter signs even with pure batteries and resistors, KVL will appear to fail then too.
Dude, seriously? You cannot handle the relativity of polarities? Apart from the fact that we are using voltmeters in an AC circuits, so the phase information is lost on us... what problem can you have in a circuit with batteries if one voltmeter is flipped? If it measure -0.5V with the probes in that position, it will measure +0.5V with the probes inverted.
Are you dyslexic? or using a screen reader?
I complained about you putting the sign wrong on the "LEFT-HAND meter which reads 1V" and you zoom in on the RIGHT HAND meter which reads 1V?
Dude, SERIOUSLY? Look at your original picture, to which I was replying -- except this is the whole thing:
https://i.postimg.cc/R04QGyHs/KVL-works-if-I-leave-out-the-magnetic-region.jpgTake note of this:
<-----LEFT

RIGHT------>
I asked about the LEFT-Hand 1V meter, and you cropped it off and showed the RIGHT 1V meter. You're quoting me out of context even if you have to cut away the part of the diagram to which I'm replying!
You know I can choose whatever sign I want for the current in a circuit, then solve for its value and if it comes down negative it just means that it is flowing in the opposite direction to the one I supposed at first?
I hope you know at least some of the basic, such as how a current divider works, or what it means to load or shunt a generator, because otherwise this will be a very long discussion.
You dragged the discussion we were having here down about ten notches.
Of course I understand signs.
But it just so happens that when applying KVL, you have to have all the volt meters pointing the same clock direction around the loop, and you have the LEFT-HAND 1V (<---) meter pointing the wrong way, which would cause KVL to appear to fail even if it was strictly resistors and batteries.
Lewin ALSO made this same error, having one of HIS volt meters backwards when he purported to measure test KVL. That's why one of his scopes read a positive spike and the other read a negative spike. If he'd had them both clocked the same direction, they'd have both read positive (or both negative), and the voltage across the resistors would have summed to the negative of his induced EMF, and KVL would have held.
So of course I know how signs work. And of course I know that if you hook a volt meter up backwards you can just negate whatever it reads. But when we're modeling, if you hook up the volt meter backwards but then don't tell the model that it's backwards, then you failed KVL, KVL didn't fail you.
You drew 6 volt meters in your loop: One had no polarity indicated, two were positive-leading-clockwise and three of them were negative-leading-clockwise except two.
Remember how they hammer into students to pay attention to the sign? It's got to be second nature by the time you graduate. But you draw a KVL loop and you're over the place.
So sure, you can put your volt meters whatever way you want then flip the signs as needed - but no engineer would draw what you drew.
There's just no way you're an engineer of any sort of the meaning. Unless.... Unless.. Do you drive a locomotive? That might suite you, since you don't have to think about whether you drive on the right or the left.

You complain about "So many words that have nothing to do with the actual discussion."
Fine, let's talk about the actual discussion, if you will:
In the diagram below, assuming that all of the volt meters are polarity-clocked the same way, and assuming you ignore the 0.5v meters, will KVL hold?
Will the algebraic sum of all the voltage differences of each element around the loop be zero?
https://i.postimg.cc/R04QGyHs/KVL-works-if-I-leave-out-the-magnetic-region.jpg