Repository: flutter
Issue: Component's ThemeData don't inherit font family
Labels: framework,f: material design,has reproducible steps,found in release: 3.3,found in release: 3.6,team-design,triaged-design

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## Steps to Reproduce

<!-- Please include full steps to reproduce so that we can reproduce the problem. -->

1. Create theme for `MaterialApp` in `main`
2. For `theme` set `fontFamily` to `Cursive` (or whatever else)
3. For `theme` set `appBarTheme` to `const AppBarTheme(titleTextStyle: TextStyle(fontSize: 17))`

**Expected results:** The entire app (including `AppBar` should use Cursive font)

**Actual results:** Appbar won't inherit the font family

<details>

* I use `material3: enabled`

* This seems to apply for button themes too, not just app bar. Probably no component will inherit the font family if the component has the text style updated when setting up the overall app's theme.

</details>

<details>
  <summary>Logs</summary>

<!-- Finally, paste the output of running `flutter doctor -v` here. -->

```
[✓] Flutter (Channel stable, 3.3.8, on macOS 13.0.1 22A400 darwin-x64, locale en-GB)
    • Flutter version 3.3.8 on channel stable at /usr/local/Caskroom/flutter/3.0.1/flutter
    • Upstream repository https://github.com/flutter/flutter.git
    • Framework revision 52b3dc25f6 (10 days ago), 2022-11-09 12:09:26 +0800
    • Engine revision 857bd6b74c
    • Dart version 2.18.4
    • DevTools version 2.15.0

[✓] Android toolchain - develop for Android devices (Android SDK version 33.0.0)
    • Android SDK at /Users/alexandrudochioiu/Library/Android/sdk
    • Platform android-33, build-tools 33.0.0
    • ANDROID_HOME = /Users/alexandrudochioiu/Library/Android/sdk
    • Java binary at: /Applications/Android Studio.app/Contents/jre/Contents/Home/bin/java
    • Java version OpenJDK Runtime Environment (build 11.0.13+0-b1751.21-8125866)
    • All Android licenses accepted.

[✓] Xcode - develop for iOS and macOS (Xcode 14.1)
    • Xcode at /Applications/Xcode.app/Contents/Developer
    • Build 14B47b
    • CocoaPods version 1.11.3

[✓] Chrome - develop for the web
    • Chrome at /Applications/Google Chrome.app/Contents/MacOS/Google Chrome

[✓] Android Studio (version 2021.3)
    • Android Studio at /Applications/Android Studio.app/Contents
    • Flutter plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/9212-flutter
    • Dart plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/6351-dart
    • Java version OpenJDK Runtime Environment (build 11.0.13+0-b1751.21-8125866)

[✓] IntelliJ IDEA Community Edition (version 2022.1.3)
    • IntelliJ at /Applications/IntelliJ IDEA CE.app
    • Flutter plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/9212-flutter
    • Dart plugin can be installed from:
      🔨 https://plugins.jetbrains.com/plugin/6351-dart

[✓] VS Code (version 1.73.1)
    • VS Code at /Applications/Visual Studio Code.app/Contents
    • Flutter extension version 3.52.0

[✓] Connected device (3 available)
    • 2201116TG (mobile) • LN7DPFJ7MNZXPFFA • android-arm64  • Android 12 (API 31)
    • macOS (desktop)    • macos            • darwin-x64     • macOS 13.0.1 22A400 darwin-x64
    • Chrome (web)       • chrome           • web-javascript • Google Chrome 103.0.5060.53

[✓] HTTP Host Availability
    • All required HTTP hosts are available

• No issues found!

```

</details>