There are some different models that also explain time-dilation.
And I am looking for some good experimental data.
Like that time changes due to moon's gravity too. And how does it change around earth, on a tower, mountain, under water, north-pole etc.
The Earth's gravity map may be useful. link

There are some important tests that failed. Like on space-time bending.
Like Gravity Probe B failed. https://www.newscientist.com/article/dn13938-gravity-probe-b-scores-f-in-nasa-review/
And they "corrected" it by changing the outcome of the tests towards Einstein's model.

Another problem is that accelerating electric charges experience a magnetic resistance. But they do not experience that in gravity. Which means that electromagnetism is not following the law of acceleration=gravity. I saw someone try to explain it with complex maths, but it is just bad maths.
And there is a lot of bad maths in how the tensors are applied in Einstein's gravity too.

There are many more of such problems, which may point towards a different model.
Like Einstein's variable speed-of-light gravity model

There may be many other models possible.
But first we need to update the observations with the latest most accurate data measurements.
And account for possible other influences. So we get observation based science.