If you get really amazing micro-scale engineering, you can get a watch that is almost as accurate as a quartz watch, for a hell of a lot more money. At least with the hat, it is qualitatively better.
Root comment mentions smoother, lighter, more flexible. Lighter certainly seems like a desirable quality, I'm not wearing a hat to work out my neck muscles.
Smoother, lighter, and more flexible than a less dear Panama
hat. The bucket is almost certainly lighter than both, if you're
looking to relieve your neck from its tremendous burden.
ljw1001 was comparing watches by their ostensive purposes,
telling time, but the hats by something else.
Exactly, better than other panama hats for the purpose for which it is used. And I wasn't as KC8ZKF states, comparing hats by one standard and watches by another. You can make a quartz watch that looks and feels exactly like a fine mechanical watch (excluding those that expose the insides, of course) AND is more accurate. You can't make a cheap panama hat that looks and feels exactly like a finely made panama hat because the craft is directly exposed.