Backport to branch(3) : Rename CheckedDistributedStorageAdmin

[feeblefakie]

This is an automated request for a manual backport of the following:

• Original PR: Rename CheckedDistributedStorageAdmin #3009
• Commit to backport: ec38d15

1. Resolve any conflicts that occur during the cherry-picking process.

git fetch origin &&
git checkout 3-pull-3009 &&
git cherry-pick --no-rerere-autoupdate -m1 ec38d151f7bee32ef6baeecd90210fa22fc1d77e

2. Push the changes.
3. Merge this PR after all checks have passed.

Thank you!