For the sake of added clarity, I think that we should specify that when it is said that DoF, CoC etc. depends on magnification, it is meant that they depend on magnification of equal sized portions, in absolute terms, of the negative.
Say we have a landscape with a bell tower. We take this landscape with a 100mm on a 135 camera, and with a 100mm with a 4:3 film camera (again :wizard: ).
If the bell tower is tall 10mm in the negative 135 camera, it is equally tall 10mm in the negative of the 4:3 camera. The difference being that in the 4:3 camera the bell tower will occupy a proportion of the side of the negative that is twice as much as in the 135 camera.
This means that in the 4:3 format the bell tower will seem, considering the entire picture, to occupy the negative as it would have looked in a 135 camera if it had been photographed with a 200mm lens. The 4:3 camera will give a "bigger tele flair" to the image in comparison to the 135 camera, both regarding perspective and DoF, when and only when we consider both images in their entirety.
I note here en passant that if we take our scissors and cut the 135 negative in exactly the same absolute dimensions of the 4:3, we obtain a negative which is identical to the one of the 4:3 format. Identical in "tele flair", in perspective, in DoF. Not a surprise, as both images have been taken with a 100mm so they project an image behind them which has the same absolute dimensions.
Now let's revert back a moment. We did not cut the 4:3 negative. We have two different negatives, a 135 and a 4:3. The bell tower is 10mm in both negatives, but there is "more real estate negative" around the bell tower in the 135 than in the 4:3 negative.
If we print those two negatives on two pieces of sensitive paper, and we print them in such a way that we have the same absolute height of the bell tower in the paper, we print the two negatives at equal magnification. Let's say that the bell tower was 10mm in both negative, is now 10cm in both prints, both negatives have been enlarged 10 times, so it is equal magnification.
If the two pieces of paper have the same dimensions, and we are printing all the 4:3 negative, this means that we are printing only the central portion of the 135 film. We don't have space on the paper to print the "extra negative real estate" of the 135.
If the paper where we print the 135 film is instead larger than the 4:3 (in the same proportion in which the 135 is larger than the 4:3 format) we can print both negatives at full fram, we will still print at equal magnification, and we have two prints of different size. The "real estate negative in excess" will now be printed in the "real estate paper in excess".
The central portion of the print obtained from the 135 negative will be identical to the print obtained from the 4:3 format. Identical not just in the size of the bell tower, but also in the perspective, tele "flair", DoF, proportions between plans nearer and plans further etc. Identical in all respects, as it is obtained with a lens with the same 100mm focal length.
Keeping all of the above in mind, and re-reading the thread, I hope the common fallacy will be evident of thinking that we can obtain a larger DoF by changing capture format.
Fabrizio