Steps to reproduce

1. Add a SearchAnchor to your app
2. Run the app. (I tried macOS, CanvasKit, and skwasm)
3. Open the full search view
4. Hover over the close/back or clear buttons
5. Notice no tooltips show up like other built-in Material widgets

Expected results

Like other Material widgets, I'd expect these icon buttons to have helpful default tooltips.

• When I hover over the close/back button, I'd expect it to say "Close" or "Back" depending on the context.
• When I hover over the clear button, I'd expect it to say "Clear search".

This is especially important in this case as the clear button could easily be mistaken as close.

Actual results

When hovering over these icon buttons, no tooltips appear.

Code sample

import 'package:flutter/material.dart';

void main() {
  runApp(MyApp());
}

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        body: Center(
          child: SearchAnchor.bar(
            barHintText: 'Search',
            suggestionsBuilder: (context, controller) {
              return [];
            },
          ),
        ),
      ),
    );
  }
}

Screenshots

Flutter version info

Flutter 3.19.0-3.0.pre.43 • channel main • https://github.com/flutter/flutter
Framework • revision f961fdf2ba (4 hours ago) • 2024-01-10 17:37:07 -0500
Engine • revision a045134c91
Tools • Dart 3.4.0 (build 3.4.0-14.0.dev) • DevTools 2.31.0