Yes, but Seattle being Seattle it is not populated by the kind of people who will pack heat. That's like saying "well Austin is part of Texas so why doesn't everyone wear a cowboy hat and go hog hunting on the weekend." Both those cities are basically San Fransisco demographically speaking.

And just because concealed carry legal doesn't mean the process is constructed in such a way that normal people can actually do it (see CA, MA, NYC and NJ for examples of this) though I'm not sure about Seattle specifically.