Pinned icon issue when ShowLabels = Never

Pin an app to Taskbar.

Open its .lnk Properties and change its icon.

So, when there's no window for the app, this icon shows. (See the middle image.) It's what I want.

When there's a window for the app, its task button shows the app's icon. (See the top image.) It's what I want.

But when ShowLabels = Never, the task button shows the customized icon. (See the bottom image.) This is not what I want.

Could this be optimized further?

Thank you.