Likewise, we in the west are in a period when certain specific Eastern philosophies, notably Buddhism and Taoism, have become widely known and popular for the first time in the West. It's easy to mistakenly assume that they are representative of the entirety of Eastern philosophy. They're not.
Western philosophy has a deep and broad mystical and esoteric tradition that routinely does what you describe as an essentially "eastern" practice. More recently, postmodernism discards all that analytic precision in favor of vague impressionistic primacy for one's personal experience, and has become by far the dominant philosophy in many parts of the west. Postmodernism was (according to its progenitor Martin Heidegger, who was incidentally a Nazi) explicitly and profoundly influenced by Taoism.
Eastern philosophy, on the other hand, has its own well-developed "excruciating pedantic detail" traditions such as Legalism[1] (among others) that routinely do what you describe as an essentially "western" practice. They have been profoundly influential in Asian thought, yet they are not currently popular in the West, so we just don't think about them.
[1] https://en.wikipedia.org/wiki/Legalism_(Chinese_philosophy)