This post is to provide a few reference images to talk about.
First, here are the subjects: a brushed stainless steel ruler and a U.S. dime, both of them tipped backward so as to be severely out of focus at top and bottom of frame.

Second, here are the lighting choices. In all cases it's a JANSJÖ lamp, either a) bare, b) diffused by paper tissue at the lamp, and c) diffused by paper tissue close to the subject.

Third, we have lens choices. Shown above is a Mitutoyo 5X Plan Apo objective with a Thorlabs ITL200 Apo tube lens. Not shown is a JML 21. Both configurations are known for lack of CA, both lateral and longitudinal.
Finally, here are the resulting images.
1. This is the brushed stainless scale, shot with the Mitutoyo/Thorlabs apochromatics. Despite the "obvious" difference in DOF, these images vary only in illumination method -- no change to optics, aperture, focus, or anything else that I recognized might be an issue. On the left is undiffused, middle is diffused at the lamp, and right is diffused near the subject. The scale here is 50% of actual pixels.

2. This is the dime, again shot with the Mitutoyo/Thorlabs apochromatics and with only illumination varying in the same way. This is 100% of actual pixels.

3. This is also the dime, this time shot with the JML 21 and with one additional tweak. The first two frames are with undiffused illumination and a focus tweak; the last three have same focus and vary only in diffusion.

In looking at these photos, three aspects jump out at me.
First is the striking increase in apparent DOF when highly directional illumination is used. I'm not sure what's going on there. I speculate that each part of the surface is predominantly "seen" by only part of the lens aperture, whatever part happens to catch the specular reflection of the highly directional light source. This would effectively stop down the lens, with the added bizarre feature that different parts of the subject will be seen through different parts of the lens aperture. That would also explain an interesting effect (not shown here) in which OOF features appear to move around in strange ways as focus is changed.
Second is that without quite a bit of diffusion, OOF areas are full of colored junk that looks like detail but isn't really. In the last montage, you can see that in the zone where the first two panels are equally OOF (about 1/3 of the way down), there's essentially no correlation between "detail" in one and "detail" in the other.
Third is that false color abounds, even or especially in out-of-focus areas where there is no subpixel detail to cause local sensor overload or Bayer effects.
I will be interested to hear other impressions and thoughts.
--Rik
Edit: typo, remove duplicated word