[AppBarLayout] `fitsSystemWindows="true"` is ignored if wrapped inside `CoordinatorLayout` without `fitsSystemWindows`

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**Description:** With SDK 35 I had another look at edge-to-edge interactions. In my case I have a `androidx.coordinatorlayout.widget.CoordinatorLayout` as the root layout with a nested `com.google.android.material.appbar.AppBarLayout` that has `android:fitsSystemWindows="true"`. The activity sets `WindowCompat.setDecorFitsSystemWindows(getWindow(), false);` on creation. However, `android:fitsSystemWindows` doesn't seem to have any influence on the visuals, so any text from the toolbar (and potential menu controls) are behind transparent controls (if present).

As a workaround I wrote this snippet to apply the required padding manually:
```java
protected void addSystemPaddingToComponentNoBottom(View view) {
int originalLeftPadding = view.getPaddingLeft();
int originalTopPadding = view.getPaddingTop();
int originalRightPadding = view.getPaddingRight();
int originalBottomPadding = view.getPaddingBottom();

ViewCompat.setOnApplyWindowInsetsListener(view, (v, windowInsets) -> {
Insets insets = windowInsets.getInsets(WindowInsetsCompat.Type.systemBars() | WindowInsetsCompat.Type.displayCutout());
int leftPadding = originalLeftPadding + insets.left;
int topPadding = originalTopPadding + insets.top;
int rightPadding = originalRightPadding + insets.right;

view.setPadding(leftPadding, topPadding, rightPadding, originalBottomPadding);

return windowInsets;
});
}
```

If I apply this to all `com.google.android.material.appbar.AppBarLayout`s in my app, everything works as expected.

**Expected behavior:** I would `android:fitsSystemWindows="true"` to apply this inset by itself. it works without issues when using it on the root `CoordinatorLayout` (which I want to be visible behind the controls, so that's why this is not an option).

**Source code:**

```xml

```

Please not how `android:fitsSystemWindows="true"` works for the nested `CoordinatorLayout` without any issues.

**Android API version:** 35

**Material Library version:** 1.12.0

**Device:** Probably all of them, tested in Emulator with Pixel 4a API 31

Reproduce the SDK 35 configuration using the provided CoordinatorLayout, nested AppBarLayout, and WindowCompat.setDecorFitsSystemWindows setup. Start by tracing window-insets handling through AppBarLayout and CoordinatorLayout, comparing it with the nested CoordinatorLayout that works. Done means AppBarLayout applies the expected top and side system-bar insets without manual padding.

Written by the indexing model from the issue text.