At the moment the Jira software with the icon at the top goes to https://<instance>.atlassian.net/jira/projects?selectedProjectType=software to display the list of projects that the user has access to.  The one under More goes to https://<instance>.atlassian.net/jira/your-work where the user recently worked.

We like to have the ability to remove the one under More as we do not require both. We believe that makes the app switcher looks busy and confusing.