There's actually a key vault detector that you can utilize to determine any issues between your function app and your function app.
- In the portal, navigate to your app.
- Select Diagnose and solve problems.
- Choose Availability and Performance and select Web app down.
- Find Key Vault Application Settings Diagnostics and click More info.
As for the container app, the key vault references should be injected as environment variables being. This means you should see these variables during container start up in the log tail.