Repository: flutter
Issue: Wrapping a `TextField` with `Semantics.identifier` doesn't work on the Web
Labels: a: text input,platform-web,has reproducible steps,P2,team-text-input,triaged-text-input,found in release: 3.24,found in release: 3.26,found in release: 3.27

### Steps to reproduce

Wrapping `TextField` widget with the `Semantics` widget (and setting `Semantics.identifier` on it) does not work on the Web.

- It works fine on Android and iOS.
- It works fine when wrapping, e.g. a `TextButton`, not a `TextField`

### Expected results

The semantics identifier is present, i.e. the following HTML exists:

```html
<flt-semantics id="flt-semantic-node-25" flt-semantics-identifier="text_field">
  <input type="text" ... />
</flt-semantics>
```

### Actual results

The semantics identifier is not present.

### Code sample

<details open><summary>Code sample</summary>

```dart
import 'package:flutter/foundation.dart';
import 'package:flutter/material.dart';
import 'package:flutter/semantics.dart';

void main() {
  WidgetsFlutterBinding.ensureInitialized();
  runApp(const MyApp());
  if (kIsWeb) {
    SemanticsBinding.instance.ensureSemantics();
  }
}

class MyApp extends StatelessWidget {
  const MyApp({super.key});

  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      theme: ThemeData.light(),
      home: Scaffold(
        body: Column(
          mainAxisAlignment: MainAxisAlignment.center,
          children: [
            Semantics(
              identifier: 'text_field',
              child: const TextField(
                decoration: InputDecoration(
                  border: OutlineInputBorder(),
                  hintText: 'Enter a search term',
                ),
              ),
            ),
            Semantics(
              identifier: 'text_button',
              child: TextButton(
                style: ButtonStyle(
                  foregroundColor: WidgetStateProperty.all<Color>(Colors.blue),
                ),
                onPressed: () {},
                child: const Text('TextButton'),
              ),
            ),
          ],
        ),
      ),
    );
  }
}
```

</details>

In this sample, here's the HTML that gets created for the subtree starting at `Semantics` wrapping the `TextButton` with `Text` widget:

```html
<flt-semantics
  id="flt-semantic-node-26"
  flt-semantics-identifier="text_button"
  style="position: absolute; overflow: visible; width: 92.7578px; height: 32px; transform-origin: 0px 0px 0px; transform: matrix(1, 0, 0, 1, 499.621, 464); pointer-events: none; z-index: 2;"
>
  <flt-semantics-container style="position: absolute; pointer-events: none; top: 0px; left: 0px;">
    <flt-semantics
      id="flt-semantic-node-27"
      role="button"
      tabindex="0"
      flt-tappable=""
      style="position: absolute; overflow: visible; width: 92.7578px; height: 32px; top: 0px; left: 0px; pointer-events: all;"
    >
      TextButton
    </flt-semantics>
  </flt-semantics-container>
</flt-semantics>;
```

And here is the HTML that gets created for the subtree starting at `Semantics` wrapping the `TextField`:

```html
<flt-semantics
  id="flt-semantic-node-25"
  style="position: absolute; overflow: visible; width: 1092px; height: 48px; transform-origin: 0px 0px 0px; transform: matrix(1, 0, 0, 1, 0, 416); pointer-events: all; z-index: 1;"
>
  <input
    type="text"
    spellcheck="false"
    autocorrect="on"
    autocomplete="on"
    data-semantics-role="text-field"
    placeholder="Enter a search term"
    aria-label="Enter a search term"
    style="position: absolute; top: 0px; left: 0px; width: 1092px; height: 48px;"
  />
</flt-semantics>;
```

> [!NOTE]
>
> Actually, the `input` above when "copied as element" from Chrome DevTools is missing the `/`, i.e. it's `<input ...>`, not `<input .../> - it's weird.

### Screenshots or Video

<details open>
<summary>Screenshots / Video demonstration</summary>

<img width="1787" alt="Screenshot 2024-09-17 at 4 21 18 PM" src="https://github.com/user-attachments/assets/e73e5d09-1e38-4aea-bc36-2a38bf684262">

</details>

### Logs

n/a

### Flutter Doctor output

<details open><summary>Doctor output</summary>

```console
Doctor summary (to see all details, run flutter doctor -v):
[✓] Flutter (Channel stable, 3.24.1, on macOS 14.6.1 23G93 darwin-x64, locale
    en-CO)
[✓] Android toolchain - develop for Android devices (Android SDK version 33.0.0)
[✓] Xcode - develop for iOS and macOS (Xcode 16.0)
[✓] Chrome - develop for the web
[✓] Android Studio (version 2021.2)
[✗] Cannot determine if IntelliJ is installed
    ✗ Directory listing failed
[✓] VS Code (version 1.86.1)
[✓] Connected device (2 available)
[✓] Network resources

```

</details>