Automatic merge from submit-queue (batch tested with PRs 49961, 50005, 50738, 51045, 49927)
Add cluster e2es to verify scheduler local storage support
Add cluster e2es to verify scheduler local storage support and remove some unused private functions
**Which issue this PR fixes** *(optional, in `fixes #<issue number>(, fixes #<issue_number>, ...)` format, will close that issue when PR gets merged)*:
part of #50818
**Release note**:
```release-note
Add cluster e2es to verify scheduler local ephemeral storage support
```
/assign @jingxu97
/cc @ddysher