### 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_
if (oldPath.length === 0) {
                 S
              } else {
                renamePathInObject(instance.context, oldPath, newPath);
              }
              instance.forceUpdate();
              break;
            case FunctionComponent:
               F
               b
              break;
          }
          break;
        case 'hooks':
          if (typeof overrideHookStateRenamePath === 'function') {
            overrideHookStateRenamePath(
              fiber,
              ((hookID: any): number),
              oldPath,
              newPath,
            );
          }
          break;
        case 'props':
          if (instance === null) {
            if (typeof overridePropsRenamePath === 'function') {
              overridePropsRenamePath(fiber, oldPath, newPath);
            }
          } else {
            fiber.pendingProps = copyWithRename(