So before I enabled the Publishing Infrastructure feature, the top nav bar tabs showed the leftmost tab reading “Home”. After enabling it and later disabling it, the leftmost tab read as the site title (as set in the site settings). Great but all my functional tests are written to search for the tab reading “Home”. So I tried to edit that Global Navigation header in the Navigation settings in Site settings and the Edit… option is not available for that heading.

Seems I need to change the site title or hack the navbar in a combination of SharePoint UI and SharePoint Designer (not my first choice).