### 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_
const typeSymbol = getTypeSymbol(type);
        switch (typeSymbol) {
          case CONCURRENT_MODE_NUMBER:
          case CONCURRENT_MODE_SYMBOL_STRING:
          case DEPRECATED_ASYNC_MODE_SYMBOL_STRING:
            return ElementTypeOtherOrUnknown;
          case PROVIDER_NUMBER:
          case PROVIDER_SYMBOL_STRING:
            return ElementTypeContext;
          case CONTEXT_NUMBER:
          case CONTEXT_SYMBOL_STRING:
            return ElementTypeContext;
          case STRICT_MODE_NUMBER:
          case STRICT_MODE_SYMBOL_STRING:
            return ElementTypeOtherOrUnknown;
          case PROFILER_NUMBER:
          case PROFILER_SYMBOL_STRING:
            return ElementTypeProfiler;
          default:
            return ElementTypeOtherOrUnknown;
        }
    }
  }
   When profiling is supported, we store the latest tree base durations for each Fiber.
   This is so that we can quickly capture a snapshot of those values if profiling starts.
   If we didn't store these values, we'd have to crawl the tree when profiling started,
   and use a slow path to find each of the current Fibers.
  const idToTreeBaseDurationMap: Map<number, number> = new Map();
   When profiling is supported, we store the latest tree base durations for each Fiber.
   This map enables us to filter these times by root when sending them to the frontend.