If you keep Control+Tab set to cycle through tabs in recently used order, you can use Command-Shift-Left/Right or Control-PageUp/PageDown to cycle through tabs

If you keep Control+Tab set to cycle through tabs in recently used order, you can use Command-Shift-Left/Right or Control-PageUp/PageDown to cycle through tabs in tab-bar order instead. Additionally, you don't need an extension to jump to a tab anymore. Command-[1-8] goes to that number tab in the current window, where 1 is the leftmost tab. Command-9 goes to the rightmost tab.