flutter: why passing something with State constructor not the best idea

main.dart

import 'package:flutter/material.dart';

void main() => runApp(MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      theme: ThemeData(
        primarySwatch: Colors.blue,
      ),
      home: MyHomePage(),
    );
  }
}

class MyHomePage extends StatefulWidget {
  @override
  _MyHomePageState createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> {
  Color color = Colors.blue;

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text("Why not state constructor"),
      ),
      body: Center(
        child: Column(
          mainAxisAlignment: MainAxisAlignment.center,
          children: <Widget>[
            MyAwesomeWidget(
              color: color,
            ),
            RaisedButton(
              onPressed: _changeColor,
              child: Text("set red color"),
            )
          ],
        ),
      ),
    );
  }

  void _changeColor() {
    setState(() {
      color = Colors.red;
    });
  }
}

class MyAwesomeWidget extends StatefulWidget {
  final Color color;

  MyAwesomeWidget({Key key, this.color}) : super(key: key) {
    print("MyAwesomeWidget constructor called with color: ${color}");
  }

  _MyAwesomeWidgetState createState() => _MyAwesomeWidgetState(color);
}

class _MyAwesomeWidgetState extends State<MyAwesomeWidget> {
  Color color;

  _MyAwesomeWidgetState(this.color);

  @override
  Widget build(BuildContext context) {
    return Container(
      height: 100.0,
      width: 100.0,
      color: color ?? Colors.blue,
    );
  }
}