I did morning pages (long hand) for a while, and while the process certainly was interesting and helpful, most of it was garbage, trite, uninteresting, and truly boring. Any interesting pieces would have required rewrite/cleanup before being anything close to publishable.

Actually, there is an option on each of your posts to make them public. They are just private by default. But really, you wouldn't want to publish this anyway. The same way nobody publishes NaNoWriMo novels either. The point is to get the words flowing, not to write editorially correct writing. In fact, focusing too much on writing "well" is what gives most people the mental block that is much complained about. Unrestrained expression followed by judicious culling is the way to write.