Refactoring for non-csi e2e test similar to below commit in csi e2e test.
https://github.com/kubernetes/kubernetes/commit/4d11dab272fc358c918a1a6b83db8f938535cdb0#diff-0d9ecaa3e6a0297186ad33f57aad472e

Scopes for this refactoring are below four files:
  - test/e2e/storage/volumes.go
  - test/e2e/storage/volume_io.go
  - test/e2e/storage/persistent_volumes-volumemode.go
  - test/e2e/storage/subpath.go

fixes: #66571