Yes, it is vulnerable, except there is no attack vector, as you don't run any software there: https://doc.qubes-os.org/en/r4.3/user/downloading-installing...
> DomU (App Qubes) also run the Linux kernel and are just as vulnerable.
I think you misinterpret the Qubes approach to security. If you do everything in one VM, you get no protection from the virtualization. Moreover, there is no sudo password by design: https://doc.qubes-os.org/en/r4.3/user/security-in-qubes/vm-s... This is not how to use Qubes.
You need to compartmentalize your workflows. It doesn't matter if my disposable VM is compromised. My secrets are in another, offline VM, where I never run anything. There is no way to use the discussed vulnerability, if one uses Qubes according to docs. See examples here: https://doc.qubes-os.org/en/latest/user/how-to-guides/how-to...