You seem to be mad that I don't just make up an answer and "take a stab" at identifying sources of variation for g. If I did that, you then complain I didn't measure it and just made it up. I ask you the same question I asked of Zork: how do you propose we separate and measure that or other vectors with a vertical component? What methodology do you propose to answer the questions before us?
Will simply naming it make it less mysterious? Let us then refer to it as "dark matter". You will believe anything wholesale, afterall, if only the priests of the Orthodoxy simply name it.
Not mad at all. I just find the double standards between what you expect of the heliocentric model, vs what you think is acceptable as a flat earth explanation amusing.
OK, so how would we handle this with real science?
First off, ideally, you would have discovered some flaw or inconsistency with the current model. No need to take measurements yourself, as they are already available. For the sake of argument, let’s accept flat earther personal incredulity as a flaw in the model.
Next you want to form a hypothesis of what else could cause these results. Before you say you’ve done that, you need to be far more specific.
So for instance, you might want to try investigating if the mass of the sun and moon could be responsible for the small variations that cause the tides, while the variation wrt latitude is from the invisible magic train tracks that keep them on their crazy dance in the sky.
Next, you should try to find actual equations and/or parameters that could make this hypothesis fit with observations. You don’t need actual proof of your causes of the variation, but you do need a working model.
Then either you or others can use it to make testable predictions where it differs from the existing model. If all goes well, you should have a model that fits the observations better than the old one, and people can start taking you seriously. Only then do you need to worry about getting direct physical evidence.
That’s the scientific way, not the “zetatic” way, of course.
However, we all know why you really can’t do this, and it’s nothing to do with the method. It’s because first you need a flat earth model that can can tell you where to find the sun to better than about 45 degrees. Bummer.