Quick question On Priorities: Can you access project via link?

My question: It looks like Priorities is great for task owners that don't need to access project-level information or folders. But it also looks like Priorities doesn't allow users to go to the full project: there's a colorful box with the project name but there's no link. If someone wanted to access the project, they would need to either go to Home, a report, or search.

Is there something I'm missing? If not, not sure this has applicability to our firm at present time.

Thanks!