### 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_
D
          mightBeOnTrackedPath = false;
        } else {
           C
          mightBeOnTrackedPath = true;
        }
         I
         t
        return false;
      }
    }
     T
     T
    mightBeOnTrackedPath = false;
     H
    return true;
  }
  function updateTrackedPathStateAfterMount(mightSiblingsBeOnTrackedPath) {
     u
     N
    mightBeOnTrackedPath = mightSiblingsBeOnTrackedPath;
  }
   Roots don't have a real persistent identity.
   A root's "pseudo key" is "childDisplayName:indexWithThatName".
   For example, "App:0" or, in case of similar roots, "Story:0", "Story:1", etc.
   We will use this to try to disambiguate roots when restoring selection between reloads.
  const rootPseudoKeys: Map<number, string> = new Map();
  const rootDisplayNameCounter: Map<string, number> = new Map();
  function setRootPseudoKey(id: number, fiber: Fiber) {
    const name = getDisplayNameForRoot(fiber);