### 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_
function updateComponentFilters(componentFilters: Array<ComponentFilter>) {
    if (isProfiling) {
       R
       I
      throw Error('Cannot modify filter preferences while profiling');
    }
     Recursively unmount all roots.
    hook.getFiberRoots(rendererID).forEach(root => {
      currentRootID = getOrGenerateFiberID(root.current);
       T
       1
       2
      pushOperation(TREE_OPERATION_REMOVE_ROOT);
      flushPendingEvents(root);
      currentRootID = -1;
    });
    applyComponentFilters(componentFilters);
     Reset pseudo counters so that new path selections will be persisted.
    rootDisplayNameCounter.clear();
     Recursively re-mount all roots with new filter criteria applied.
    hook.getFiberRoots(rendererID).forEach(root => {
      currentRootID = getOrGenerateFiberID(root.current);
      setRootPseudoKey(currentRootID, root.current);
      mountFiberRecursively(root.current, null, false, false);
      flushPendingEvents(root);
      currentRootID = -1;
    });
     Also re-evaluate all error and warning counts given the new filters.
    reevaluateErrorsAndWarnings();
    flushPendingEvents();