Classic Alt+Tab doesn't follow AppWindow.IsShownInSwitchers

[jaigak]

Describe the bug

Classic Alt+Tab, which is shown when Explorer isn't running, still shows an app window even when AppWindow.IsShownInSwitchers is set to false.

Steps to reproduce the bug

1. While Explorer is running set IsShownInSwitchers to false and you shouldn't notice that the window isn't shown in Alt+Tab.
2. Now kill Explorer, and notice that the window is shown in Alt+Tab even though IsShownInSwitchers is false.

Expected behavior

App window shouldn't be visible in classic Alt+Tab when IsShownInSwitchers is set to false.

Screenshots

No response

NuGet package version

Windows App SDK 1.2.1: 1.2.221116.1

Packaging type

Packaged (MSIX), Unpackaged

Windows version

Windows 11 version 21H2 (22000)

IDE

Visual Studio 2022-preview

Additional context

No response