kubernetes/kubernetes#134604 reported against kubernetes proper is actually a problem with CDI. See the original issue for details and discussion.
As a short summary, when a pod is running with hostUsers: false, then all mounts should (and kubelet-requested runtime-injected ones will) have UID- and GID-mappings. Since CDI inject mounts without any UID- and GID-mappings containers trying to access CDI-injected bind-mounted directories will fail with EPERM unless the mounted directory has at least 0666 permissions set.