Should the app be the default handler for app indexing?

Question

There are plenty of web URLs (as deep-link) defined in the manifest. For app-indexing, I added an App Link. It seems verified, but not working as the default handler. Disambiguation dialog appears on link click.

I notice the documentation says that:

Note: On Android 11 (API level 30) and lower, the system doesn't verify your app as a default handler unless it finds a matching Digital Asset Links file for all hosts that you define in the manifest.

Checked via terminal (adb shell pm get-app-links <package_name>) and filtering Logcat by "IntentFilterIntentOp") They both say verified.

Is my app still indexed this way? Or should it be the default handler for indexing? If so, how can I achieve this?

Note: Not possible to add the Digital Asset Links file to all hosts because some of them are not a physical one.

Note: It works as the default handler when all web links are deleted except the app link.