Tasks initially entered in the Inbox will not have a project, but once a project is assigned (by pull-down in the Project column) should the task not move automatically out of the Inbox to the relevant project heading ?

I notice that your screenshots, e.g. on

http://www.omnigroup.com/applications/omnifocus/

Show a task in the Inbox which has been assigned to the project "Lucretia Print". Shouldn't this task now be showing up under the Lucretia Print header, rather than under the Inbox header ?

[Craig]

The clean up button will move it out. Part of the reasoning may be that even once you've assigned a project there may be more processing to do on that action (for example, adding a due date).