### 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_
debug('updateFiberRecursively()', nextFiber, parentFiber);
    }
    if (traceUpdatesEnabled) {
      const elementType = getElementTypeForFiber(nextFiber);
      if (traceNearestHostComponentUpdate) {
         I
        if (elementType === ElementTypeHostComponent) {
          traceUpdatesForNodes.add(nextFiber.stateNode);
          traceNearestHostComponentUpdate = false;
        }
      } else {
        if (
          elementType === ElementTypeFunction ||
          elementType === ElementTypeClass ||
          elementType === ElementTypeContext ||
          elementType === ElementTypeMemo ||
          elementType === ElementTypeForwardRef
        ) {
           O
          traceNearestHostComponentUpdate = didFiberRender(
            prevFiber,
            nextFiber,
          );
        }
      }
    }
    if (
      mostRecentlyInspectedElement !== null &&
      mostRecentlyInspectedElement.id === id &&
      didFiberRender(prevFiber, nextFiber)