I live in a world where nothing is "true" or "false." I try to not have so much ego as to think I can make such decisions. Instead, I live in a world where things are likely or unlikely, expected or not expected.
Your notion of "science" is extremely limited. I think almost any rational activity, including thinking about reports of things that don't fit into my preconceived notions, is still science. Whether or not it is of course is a matter of definition, and hence not all that important, so long as it is remembered that one cannot dismiss something when it is "not science" if one uses an excessively limited of the word.
Coincidentally, I read an item earlier today that historians are more and more thinking of alchemy as having been a science. As I read over the article, it hit me that astrology would also qualify for redefinition, since the criteria the historians were citing were much the same for both.
As practiced nowadays, astrology does not strike me as in the same league as astronomy (nowhere near), but that does not mean that, to those who believe it, it is not rational (internally consistent, supported by evidence). Dismissing people who have different opinions as "stupid" or whatever is to me entirely too judgmental. What you think is an extraordinary claim is largely cultural.