### 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_
injectProfilingHooks,
    overrideHookState,
    overrideHookStateDeletePath,
    overrideHookStateRenamePath,
    overrideProps,
    overridePropsDeletePath,
    overridePropsRenamePath,
    scheduleRefresh,
    setErrorHandler,
    setSuspenseHandler,
    scheduleUpdate,
  } = renderer;
  const supportsTogglingError =
    typeof setErrorHandler === 'function' &&
    typeof scheduleUpdate === 'function';
  const supportsTogglingSuspense =
    typeof setSuspenseHandler === 'function' &&
    typeof scheduleUpdate === 'function';
  if (typeof scheduleRefresh === 'function') {
    
    
    
    
    
    
    renderer.scheduleRefresh = (...args) => {
      try {
        hook.emit('fastRefreshScheduled');
      } finally {
        return scheduleRefresh(...args);