> When I look at Hangul, I see a rather simple underlying set of principles. It seems to logically build up. Compared to say, the Cherokee one, which, by looking at it for a minute, doesn't appear to have any structure. It seems like they're more-or-less random symbols. Maybe there is some deeper design there but it isn't apparent at a quick glance.

It's the other way around; Hangul is also composed of more-or-less random symbols with no deeper design. Hangul is an alphabetic system much like Spanish, except that the letters are arranged into two-dimensional square syllables, and the squares then placed in a line, instead of the letters being arranged into a one-dimensional line directly. That's just an artistic choice.