I understand the App Switcher follows the Dock. Other answers here confirm as much.
However, is it possible via some hidden command-line preference to force the Application Switcher to display on the main display at all times? Whereas "main display" is the display in the System Preferences > Displays > Arrangement preference with the menu bar.
I personally have my dock hidden on my left-most display, but even switching the dock position to the bottom is a hassle since it requires first launching the dock from the desired display before switching the app switcher's location.