Yep!
And there's the key thing to explain. It's important to understanding why these different effective apertures result in the same exposure [for a given format]. I mean, if the aperture diameter is wider, more light should get through, and the exposure should be much greater, right? The reason the wider aperture results in the same exposure can be understood in two ways.
In one scenario, imagine that we are standing 105 / 24 = 4.375x further back from the subject. This means that the intensity of the light reaching us is 1/4.375² = 5.22% as bright, because it has spread out over 4.375² = 19x the area. But the effective aperture at 105mm f/4 (26mm diameter) has 19x the area as the effective aperture at 24mm f/4 (6mm diameter), so the the resulting intensity of light projected on the sensor is the same.
In another scenario, imagine we are standing in the same position. In this case, 24mm is seeing 19x as much area of the scene as 105mm, thus, assuming the same average scene luminance, projecting 19x more light on the sensor. However, the effective aperture area at 105mm is 19x greater, which also projects 19x more light on the sensor. So, the two effects cancel each other out, and, again, we have the same total amount of light projected on the sensor, thus the same exposure (for a given sensor).
In other words, simply saying the aperture area is larger isn't convincing unless one understands the why behind it. The problem with the anti-Equivalence crowd is that they have no interest, whatsoever, in understanding. They worship the "exposure god", without having any understanding of what exposure really is, how it relates to any of the three apertures or total light, and how any of that connects with DOF and/or noise.
I mean, it's fine if they don't care. What irks me is how they argue against the facts Dunning-Kruger style, proudly putting their willful ignorance on full display to the cheers of those with like "minds". Once, a long while back, one of these willfully ignorant people said, "I don't even care that they're right -- their arrogance is so condescending and off-putting." An attitude shared, no doubt, by TC, jalywol, etc.. And yet, these same people are so self-unaware to realize that the arrogance and condescension comes from their Dunning-Kruger style of "discussion", their insults and snide remarks, their willful ignorance, that predicated the frustration on our part. As I linked and quoted here, beginning my being sandboxed:
The Editor-in-Chief of DPR at the time, Simon Joinson, put it like this:
Firstly, most of these 'troll threads' that I've seen are started by people who refuse to accept simple scientific facts, and who get aggressive when their faulty reasoning is challenged. It's not trolling to respond (as i did) to threads started to suggest that my writers are wrong about equivalent aperture by pointing to the actual science that proves they've misunderstood.
...
These threads often get more posts (and even more argumentative) when they're moved to the PST forum because misinformed users start arguing with industry experts (who then complain about all this flat earth stuff appearing in their forum).
which, of course, is all together different than how "they" characterize the matter.
It's absolutely fine to think that your camera/system is best for you. I mean, each person has their own subjective needs/wants, right? So, for someone to think that mFT suits them better than anything else is entirely reasonable. It's when the facts are misrepresented that we have problems. For example, I quoted where jalywol said:
And, don't be fooled by equivalence pretzel logic. If you are shooting the PL 50-200mm at f4 at 200mm, and trying to keep the shutter speed up to capture some fast action, you are going to have a much easier time of it than trying to use the Canon at 400mm at f8. Yeah, sensor noise is going be be different in the FF vs M43, but an f8 lens is not an f4 lens, no matter how you dance on the head of a pin.
and replied:
How is shooting, say, 200mm f/4 1/1000 ISO 400 on mFT "much easier" than shooting 400mm f/8 1/1000 ISO 1600 on FF? The statement you made is not an "alternative viewpoint" -- it's a gross misrepresentation of Equivalence.
I mean, if jalywol simply said that she liked the mFT combo better, and gave the reasons for it, all would be fine. But she just made crap up based on her bias and/or lack of understanding (which, I can comfortably say, since when I asked her, she refused to answer, because, of course, she couldn't).
So, again, thinking mFT is best is not only fine, but absolutely true for many people. But you don't have to be at odds with the facts to hold that opinion.