I find beauty in all written languages on many levels (aesthetics is just one aspect of beauty). I enjoy written Japanese partially because of the contrast between simple and complex forms; how it's more drawn than written. A hand-written line has character; a script in almost any language reveals a bit of the character of its author. Even in print, the most popular typefaces are designed with the same stroke contrasts in mind as a calligrapher.
However, as much as I can admire written Japanese for its aesthetics, I especially appreciate it when I can actually understand what it says. I can only hope that an increased understanding of the written language doesn't diminish my appreciation for its form. I think we have a tendency to take for granted something as simple as a hand-written note.