Huh? Oh, the Shortt clock master pendulum is in a vacuum chamber. So, no atmospheric effects. How does latitude affect a pendulum clock?
Where was this experiment conducted with that pendulum clock? The only reference to the earth's rotation I could find is this:
https://articles.adsabs.harvard.edu/full/seri/MNRAS/0089//0000240.000.html
This has nothing to do with gravitational variation by latitude, and says that they could not find much of a difference in the clock rate between 1927 and 1928.
Scales are affected by the atmosphere and show variation by latitude.
Really? Can you explain? What does that have to do with the Shortt clock? Where do scales come to play? How are scales affected by atmosphere?
Yes, there is a page on the scale experiments here:
https://wiki.tfes.org/Weight_Variation_by_LatitudeAtomic clocks are not affected by the atmosphere and do not show variation by latitude.
From your reference.
Time dilates at different altitudes in agreement with an upwardly accelerating Earth1, but not at different latitudes as suggested by a rotating Round Earth.
So, your reference says there is an effect caused by altitude. Is that because of the diminished value of 'g'?
If you just read the links you will learn that physical upwards acceleration predicts time dilation when measured at different altitudes within an upwardly accelerating environment.
https://wiki.tfes.org/Gravitational_Time_DilationFrom
p.8 of Cosmological Physics by John A. Peacock, PhD. we read the following:
GRAVITATIONAL TIME DILATION
“ Many of the important features of general relativity can be obtained via rather simple arguments that use the equivalence principle. The most famous of these is the thought experiment that leads to gravitational time dilation, illustrated in figure 1.1. Consider an accelerating frame. which is conventionally a rocket of height h, with a clock mounted on the roof that regularly disgorges photons towards the floor. If the rocket accelerates upwards at g, the floor acquires a speed v = gh / c in the time taken for a photon to travel from roof to floor. There will thus be a blueshift in the frequency of received photons, given by Δv / v = gh / c^2, and it is easy to see that the rate of reception of photons will increase by the same factor.
Now, since the rocket can be kept accelerating for as long as we like, and since photons cannot be stockpiled anywhere, the conclusion of an observer on the floor of the rocket is that in a real sense the clock on the roof is running fast. When the rocket stops accelerating, the clock on the roof will have gained a time Δt by comparison with an identical clock kept on the floor. Finally, the equivalence principle can be brought in to conclude that gravity must cause the same effect. Noting that ΔΦ = gh is the difference in potential between roof and floor, it is simple to generalize this to Δt / t = ΔΦ / c^2 ”

“ Figure 1.1. Imagine you are in a box in free space far from any source of gravitation. If the box is made to accelerate ‘upwards’ and has a clock that emits a photon every second mounted on its roof, it is easy to see that you will receive photons more rapidly once the box accelerates
(imagine yourself running into the line of oncoming photons). Now, according to the equivalence principle, the situation is exactly equivalent to the second picture in which the box sits at rest on the surface of the Earth. Since there is nowhere for the excess photons to accumulate, the conclusion has to be that clocks above us in a gravitational field run fast. ”
If you imagine yourself running into the line of incoming photons you will know why time appears to speed up when accelerating into a line of time-representing photons. There is a physical reason for why time dilates due to acceleration, and is equivalent to the explanation here in the Water Droplet Example from the tfes.org page:
Water Droplet Example"For further clarification of why upwards acceleration into a line of incoming clock signals affects the perception of time, as in the previous left side example, we may use an example of water droplets.
Imagine that you are on one end of a spacecraft under zero gravity. A line of water droplets is traveling from the far end of the spaceship towards you, hitting you at a rate of 1 drop per second.

You then accelerate towards the drops. Will you experience the water droplets hitting you at a rate quicker than 1 drop per second?

When you accelerate into droplets you perceive their sequence of events quicker. We see that the physical act of accelerating into an incoming line of water droplets would cause them to appear to increase at a quicker rate than if you were not accelerating into them. This is the cause of time dilation in the previous example of an astronaut accelerating into the incoming clock signals within a rocket."
"Gravity" must emulate what happens in an upwardly accelerating environment, per the equivalence principle.
Therefore, the RE model based on uncontrolled experiments is false.
That's a long way from saying the globe earth model is wrong. Your reference seems to be saying it has to do with the equivalence principle. No?
It's wrong. You can't cite a controlled experiment on this. Scales and pendulums are affected by the atmosphere. The atomic clock experiments are not affected by the atmosphere do not show latitude effects.