Automatic merge from submit-queue (batch tested with PRs 57700, 59954). If you want to cherry-pick this change to another branch, please follow the instructions <a href="https://github.com/kubernetes/community/blob/master/contributors/devel/cherry-picks.md">here</a>.
Index PVs by StorageClass in assume cache
**What this PR does / why we need it**:
Performance optimization for delayed binding in the scheduler to only search for PVs with a matching StorageClass name. This means that if you prebind the PV to a PVC, the PV must have a matching StorageClass name. This behavior is different from when you prebind with immediate binding, which doesn't care about StorageClass.
**Which issue(s) this PR fixes** *(optional, in `fixes #<issue number>(, fixes #<issue_number>, ...)` format, will close the issue(s) when PR gets merged)*:
Fixes#56102
**Special notes for your reviewer**:
**Release note**:
```release-note
NONE
```
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