### 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_
batchUIDToMeasuresKeyValueArray: Array.from(
            batchUIDToMeasuresMap.entries(),
          ),
          internalModuleSourceToRanges: Array.from(
            internalModuleSourceToRanges.entries(),
          ),
          laneToLabelKeyValueArray: Array.from(laneToLabelMap.entries()),
          laneToReactMeasureKeyValueArray: Array.from(
            laneToReactMeasureMap.entries(),
          ),
        };
      }
    }
    return {
      dataForRoots,
      rendererID,
      timelineData,
    };
  }
  function startProfiling(shouldRecordChangeDescriptions: boolean) {
    if (isProfiling) {
      return;
    }
    recordChangeDescriptions = shouldRecordChangeDescriptions;
     Capture initial values as of the time profiling starts.
     It's important we snapshot both the durations and the id-to-root map,
     since either of these may change during the profiling session
     (e.g. when a fiber is re-rendered or when a fiber gets removed).
    displayNamesByRootID = new Map();
    initialTreeBaseDurationsMap = new Map(idToTreeBaseDurationMap);