I’m not familiar with this custom so I looked up Eid and am basing this on my quick browse of the article as well as my lifetime of experience in stargazing.
Since we’re talking about literally looking at the moon right after it is new, then we’re talking about the slimmest, dimmest hint of a crescent. That is objective and not dependent on location, because it’s happening on the moon, not on Earth. So for some places that’s going to happen at noon, and for some it will be in the morning, and some it will be at sunset, and some won’t see it at all because they’re facing the wrong way. So wherever the moon happens to be in the sky when that happens will have a big impact on whether you can see it happen. Most of the time you will have to wait until your local sunset before you can spot the crescent, because the sun is low or below the horizon and the moon isn’t yet…so someone a few hours east of you might see the crescent before you can just because their light levels are different. When you finally get to see it, the crescent’s already been there for a few hours, it was just too bright out to see it where you were.
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