Flutter: persistent bottom navigation bar rebuilds ALL pages when navigating between pages

I am using the persistent_bottom_nav_bar package and have implemented its custom navigation bar (basically just customized from the example in their Readme page). Reproducible code below.

The issue: when you navigate with the bottom navigation, ALL the pages rebuild on every tap. Quite draining on the app's performance! This seems to be a Flutter issue in general and solutions are given by using e.g. an IndexedStack when the full code is written by oneself instead of using a package, which I have done.

Is there any way to fix this issue when using the persistent_bottom_nav_bar package and specifically with the custom code that I have used?

My code (simplified so that anyone can just copy & run it):

main.dart

import 'package:flutter/material.dart';
import 'package:persistent_bottom_nav_bar/persistent-tab-view.dart';

import 'page1.dart';
import 'page2.dart';
import 'page3.dart';
import 'page4.dart';

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

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Demo',
      home: HomeScaffold(),
    );
  }
  }

class HomeScaffold extends StatefulWidget {

  @override
  _HomeScaffoldState createState() => _HomeScaffoldState();
}

class _HomeScaffoldState extends State<HomeScaffold> {
  PersistentTabController _controller;

  @override
  void initState() {
    super.initState();
    _controller = PersistentTabController(initialIndex: 0);
  }

  List<Widget> _buildScreens() {
    return [
      Page1(),
      Page2(),
      Page3(),
      Page4(),
    ];
  }

  List<PersistentBottomNavBarItem> _navBarsItems() {
    return [
      _buildBottomNavBarItem('Page 1', Icons.home),
      _buildBottomNavBarItem('Page 2', Icons.search),
      _buildBottomNavBarItem('Page 3', Icons.message),
      _buildBottomNavBarItem('Page 4', Icons.settings),
    ];
  }

  @override
  Widget build(BuildContext context) {
    return PersistentTabView.custom(
      context,
      controller: _controller,
      screens: _buildScreens(),
      confineInSafeArea: true,
      itemCount: 4,
      handleAndroidBackButtonPress: true,
      stateManagement: true,
      screenTransitionAnimation: ScreenTransitionAnimation(
        animateTabTransition: true,
        curve: Curves.ease,
        duration: Duration(milliseconds: 200),
      ),
      customWidget: CustomNavBarWidget(
        items: _navBarsItems(),
        onItemSelected: (index) {
          setState(() {
            _controller.index = index;
          });
        },
        selectedIndex: _controller.index,
      ),
      // ),
    );
  }
}

class CustomNavBarWidget extends StatelessWidget {
  final int selectedIndex;
  final List<PersistentBottomNavBarItem> items;
  final ValueChanged<int> onItemSelected;

  CustomNavBarWidget({
    Key key,
    this.selectedIndex,
    @required this.items,
    this.onItemSelected,
  });

  Widget _buildItem(PersistentBottomNavBarItem item, bool isSelected) {
    return Container(
      alignment: Alignment.center,
      height: kBottomNavigationBarHeight,
      child: Column(
        mainAxisAlignment: MainAxisAlignment.center,
        crossAxisAlignment: CrossAxisAlignment.center,
        mainAxisSize: MainAxisSize.min,
        children: <Widget>[
          Flexible(
            child: IconTheme(
              data: IconThemeData(
                  size: 26.0,
                  color: isSelected
                      ? (item.activeColorSecondary == null
                      ? item.activeColorPrimary
                      : item.activeColorSecondary)
                      : item.inactiveColorPrimary == null
                      ? item.activeColorPrimary
                      : item.inactiveColorPrimary),
              child: isSelected ? item.icon : item.inactiveIcon ?? item.icon,
            ),
          ),
          Padding(
            padding: const EdgeInsets.only(top: 5.0),
            child: Material(
              type: MaterialType.transparency,
              child: FittedBox(
                  child: Text(
                    item.title,
                    style: TextStyle(
                        color: isSelected
                            ? (item.activeColorSecondary == null
                            ? item.activeColorPrimary
                            : item.activeColorSecondary)
                            : item.inactiveColorPrimary,
                        fontWeight: FontWeight.w400,
                        fontSize: 12.0),
                  )),
            ),
          )
        ],
      ),
    );
  }

  @override
  Widget build(BuildContext context) {
    return Container(
      color: Colors.white,
      child: Container(
        width: double.infinity,
        height: kBottomNavigationBarHeight,
        child: Row(
          mainAxisAlignment: MainAxisAlignment.spaceAround,
          children: items.map((item) {
            int index = items.indexOf(item);
            return Flexible(
              child: GestureDetector(
                onTap: () {
                  this.onItemSelected(index);
                },
                child: _buildItem(item, selectedIndex == index),
              ),
            );
          }).toList(),
        ),
      ),
    );
  }
}

PersistentBottomNavBarItem _buildBottomNavBarItem(String title, IconData icon) {
  return PersistentBottomNavBarItem(
    icon: Icon(icon),
    title: title,
    activeColorPrimary: Colors.indigo,
    inactiveColorPrimary: Colors.grey,
  );
}