You bring up two points that I have seen research on but that has not been published (that I'm aware of anyway). First is that TVI is measured as a relationship between a solid and a tone area. It is quite possible for a solid to be increased and the measured dot area to remain the same or even go down.
Your second point is ink film thickness. I would argue that the press operator is not adjusting ink keys based in the requirements of the imagery, but on a need to try and have the ink film the same thickness throughout the tone range. I.e. The ink film on the halftone dots (lots of small solids) be the same as on the larger solid areas.
I have seen and still have some plots somewhere that show a clear relationship between ink film thickness (density) and dot gain. Of course this was from testing with fresh ink that had no water emulsified in it. I think it was done with a Little Joe machine.
On press things are a bit different. It is wrong to say that density is related to ink film thickness because the printed film has ink and water present. One could say that density is closely related to the ink pigment content in the printed film. It is closely related because the smoothness of the ink lay down affects density. A smoother film will result in a higher density than a rough ink film that has the same amount of ink per area.
So it is very important to think in terms of printing a film that has both ink and water. This is important to understand because it helps one understand some factors that affect dot gain and wet trap. So when one is talking about printing ink films, always remember that there is water in that film too.
I would say that on a conventional press, the operator has no direct control of the dots and for sure is not trying to print the same ink film on the dots as is on the solid. They have no control over this. They control dots indirectly by adjusting solid density ink films.
Dots do not have the same ink film thickness as solids. Dots are not small solids. Models that assume that are wrong. Think about this. You put ink on a 50% dot on the plate. Assuming that the same amount of ink per area has gone to that 50% dot area as would have gone to a solid area, then after mechanical dot gain, the ink film thickness must be less than the ink film thickness on a solid due to the squeezing of ink out from the original dot circle.
This thinning out of the ink can cause a hue change. Also the thickness of the ink on the dot have very little affect on dot gain (TVI) but spreading of the ink into the adjacent non image area around the dot has a very great affect on TVI.
If an image was generated from some data from an original test form that was run to specific solid densities, the press operator is just trying to duplicate those conditions by running to the same solid densities. The hope is that the image in line with those colour bars will reproduce predictably. Some times they don't.
Since the printed ink film has both ink and water in it, we get to the problem of density control and control of dot gain. On conventional presses, the operator has enough problems just trying to maintain density let alone any issues about water content in the printed film. So after he gets to the target density, he may at times be running slightly more water and at other times slightly less. He does not want to get into the problem of chasing the balance. And with shorter run, he has not time to spend anyhow.
Here is where the potential benefits of positive ink feed comes in. Since with positive ink feed, the ink portion of the ink film is much more consistent. It becomes very much easier to make adjustments in the water content because adjusting the water will not affect the ink content. Increasing the water content might be useful in making adjustments to dot gain, on the run since it is rational to think that a thicker and less tacky ink film will spread out more. Water in the ink reduces tack. Laboratory tests for ink tack do not represent conditions on press. It also might help control wet trap. By adjusting the water content of the first down and second down inks slightly, wet trap might be adjustable while you run.
These would be very interesting issues to study but one needs positive ink feed to move forward. Oh shoot, I forgot, the press manufacturers don't think that rethinking the press design is required.