OK, after a rejuvenating dinner, I feel obligated to not dismiss all of this. I don't know if it can help to answer, but why not try.
The new loop you speak of is not new at all. It is always there. One if free to think of two paths for the measurements in cases 1-4. One path goes through the 90 ohm resistor and the other path goes through the 900 ohm resistor. One of these paths does not enclose the flux, while the other one does. Faraday's law works on both paths. In one, there is little enclosed flux, so the scope reads the potential on that resistor. On the other path, the flux is enclosed and so you read the potential of the other resistor plus the enclosed flux emf. Both values must be equal. FL always works!
I see that you intensionally introducing the loop with the ground lead to pick up the induction to get the reading.
The point of the diagram is to show that you can gradually slide the ground connection along the wire without changing the measurement even if emf is on the wire. The only way to change the measurement is to change the path of the ground lead, not the point that it attaches too. This shows why the emf on the wire need never be thought of. This is the point of Prof. Lewin's experiment. This is the entire point and you miss it.
You graduate slide the ground only result in graduately increase the loop of the probe ground and slowly get more induction of voltage.
This is a good example of how it can be frustrating talking to you. So many points get missed, and the task of going back and trying to clarify everything becomes difficult, especially since the clarifications themselves will also be misunderstood. I clearly stated that I used the other channel of the scope to monitor and trigger off of the input step voltage. I needed to do this to make sure that I had a high quality step excitation of the coil. I also, mentioned that I'm worried about damaging my expensive power supply because of my poor switching method, which I will improve. So, I'm trying to do the minimal number of experiments before I build the drive circuit. Once I have a reliable drive circuit, I can use the input voltage on the trigger input, and use the dual channels as you say. This is all planned and will be done.
You take things too personal. Why don't you calm down, cut the put down and do the experiment. This is very un becoming and have no place in this highly educated forum.
Of course that would not be hard to try, so (risking my power supply a couple of times more) I will do that and post the result tomorrow. Do you really think I won't get 230 mV with the ground lead routed on one side and 23 mV with the ground lead routed on the other side? Wow, you really miss the entire point.
Why don't I try for once? I'm trying to do experiments now, which I've outlined clearly and even given a time for expected completion and delivery of a report. I've also tried providing theoretical explanations and analysis. I'm not trying to spike you. I'm just trying to limit the damage your misinformation will do to those trying to learn. I can't do that by beating about the bush, so I call it like I see it.