### Website or app

https://codesandbox.io/s/forwardref-context-change-did-not-render-lpdk4t?file=/src/index.js

### Repro steps

1. Goto https://lpdk4t.csb.app/
1. Start profiling
3. Enter "a" into the input
4. Stop profiling
![forwardRef-did-not-render](https://user-images.githubusercontent.com/12292047/164915101-f28f305a-2c51-4b89-8515-da073e5551c9.png)



### How often does this bug happen?

Every time

### DevTools package (automated)

_No response_

### DevTools version (automated)

4.24.3-46a98cff2

### Error message (automated)

_No response_

### Error call stack (automated)

_No response_

### Error component stack (automated)

_No response_

### GitHub query string (automated)

_No response_
}
              break;
          }
          break;
        case 'state':
          switch (fiber.tag) {
            case ClassComponent:
              setInObject(instance.state, path, value);
              instance.forceUpdate();
              break;
          }
          break;
      }
    }
  }
  type CommitProfilingData = {|
    changeDescriptions: Map<number, ChangeDescription> | null,
    commitTime: number,
    durations: Array<number>,
    effectDuration: number | null,
    maxActualDuration: number,
    passiveEffectDuration: number | null,
    priorityLevel: string | null,
    updaters: Array<SerializedElement> | null,
  |};
  type CommitProfilingMetadataMap = Map<number, Array<CommitProfilingData>>;
  type DisplayNamesByRootID = Map<number, string>;
  let currentCommitProfilingMetadata: CommitProfilingData | null = null;
  let displayNamesByRootID: DisplayNamesByRootID | null = null;
  let idToContextsMap: Map<number, any> | null = null;