Fortuitously, the lump of the molten rock positioned itself on a orbit of the Earth just so that it size covers the Sun perfectly. We all believe that!
Aside from being a beautiful curiosity, solar eclipses aren’t very impactful for humanity (correct me if I’m wrong here), so I don’t see why they would indicate a creator.
i.e. Is there a scientific explanation for the fact that the ratio between the diameter of the Sun and Moon are the same as the ratio between their distances to Earth such that they look almost exactly the same size to us?
We can of course say it's coincidence -- and that may be the case, but if we use "coincidence" to explain away anything we can't readily explain (instead of trying to find answers), there'd there'd be no scientific progress at all.
Ideally, the model of how the Moon formed _should_ give an explanation to that. If that turns out to require (for example) the existence of ancient space aliens fine tuning parameters in our solar system, well, IMHO people can decide for themselves whether they think this is more likely, or the fact that the ratios of the celestial objects fit just perfectly.
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Btw, slight nit with your logic -- if solar eclipses are impactful for humanity's survival, one can invoke the anthropic principle to explain why it's a necessity in an environment that gave rise to humans. But it seems they're not impactful, so in that way, it seems that the possibility of a creator is relatively increased.
Certainly has had an impact on humanity in a cultural sense.