### Website or app

https://opensource.fb.com

### Repro steps

It seems that with the latest update of Chrome and React DevTools, it cannot detect pages as using React on incognito. Screenshot attached below:

<img width="518" alt="image" src="https://user-images.githubusercontent.com/34370238/235575519-8eeaa3c5-80fa-4cc4-a33d-3d2f0541f0d9.png">

* _Chrome version: 112.0.5615.137 (arm64)_
* _React DevTools version: 4.27.6 (4/20/2023)_

### How often does this bug happen?

Every time

### DevTools package (automated)

_No response_

### DevTools version (automated)

_No response_

### Error message (automated)

_No response_

### Error call stack (automated)

_No response_

### Error component stack (automated)

_No response_

### GitHub query string (automated)

_No response_
one.onMessage.addListener(lOne);
  function lOne(message) {
    try {
      two.postMessage(message);
    } catch (e) {
      if (__DEV__) {
        console.log(`Broken pipe ${tabId}: `, e);
      }
      shutdown();
    }
  }
  two.onMessage.addListener(lTwo);
  function lTwo(message) {
    try {
      one.postMessage(message);
    } catch (e) {
      if (__DEV__) {
        console.log(`Broken pipe ${tabId}: `, e);
      }
      shutdown();
    }
  }
  function shutdown() {