Paper one is 31.50... which I don't have. I will have to get someone to find me a copy of it.
Paper two: "The magnitude and direction of this rotation-induced force are determined in exact mathematical form in this article. It is calculated that the gravitational force is at least 300 times larger than the largest rotation-induced force anywhere on Earth, the latter force being maximal along the equator and approximately equal to 34 N/m3 there. This compares with a gravitational force of ∼104 N/m3.
Paper three: "The tendency for the LSC to be in a preferred orientation due to the Coriolis force could be canceled by a slight tilt of the apparatus relative to gravity, although this tilt affected other aspects of the LSC that the Coriolis force did not."
Paper four: "In the high-frequency limit, the Coriolis effects may be neglected, and a family of stationary Kolmogorov solutions can be found, which includes the Garrett?Munk spectrum of oceanic internal waves."
All of your own papers that I could get my hands on say the same thing, two right in the abstract. The Coriolis force is not important. Paper four was even a restricted study, carefully controlling the shape size and forces of the experiment and it still doesn't say a thing about the Coriolis force being a major effect on the fluid.
The only one that might back your position is the first one and they are trying to create the Coriolis force, even though they claim "To get a viscous Shallow Water type model with Coriolis force from free surface Navier?Stokes equations, the required order of approximation depends on the relative order between the Reynolds number and the aspect ratio. Even if the methodology is classical in the field of asymptotic analysis (ansatz), we will prove that new terms depending on the latitude cosine have been omitted in recent papers and must be taken into account for some applications in geophysics. However, these terms do not appear when we study rotating thin films. We will also give the quasi-geostrophic and the lake limits corresponding to the equations with cosine effect. All these models are well posed (existence of global weak solutions) and we show that the cosine terms affect equatorial waves."
It should be an interesting paper at least.
But the rest of them still say the Coriolis force is simply not that important. Does it exist? Yes. Why, under the FE? Because the FE spins, I believe. Let me check on that before I claim it.