Entity Framework tightened dependencies

BusinessLogic.cs

public class Coordinator
{
    private readonly ICompleteUnitOfWork _unitOfWorkCompleter;
    private readonly WidgetGenerator _widgetGenerator;
    private readonly WotsitGenerator _wotsitGenerator;

    public Coordinator(
        ICompleteUnitOfWork unitOfWorkCompleter, 
        WidgetGenerator widgetGenerator, 
        WotsitGenerator wotsitGenerator)
    {
        _unitOfWorkCompleter = unitOfWorkCompleter;
        _widgetGenerator = widgetGenerator;
        _wotsitGenerator = wotsitGenerator;
    }

    public void DoStuff()
    {
        _widgetGenerator.GenerateWidgets();
        _wotsitGenerator.GenerateWotsits();
        _unitOfWorkCompleter.SaveChanges();
    }
}

public class WotsitGenerator
{
    private readonly IDbSet<Wotsit> _wotsitDbSet;

    public WotsitGenerator(IDbSet<Wotsit> wotsitDbSet)
    {
        _wotsitDbSet = wotsitDbSet;
    }

    public void GenerateWotsits()
    {
        if (DateTime.Now.DayOfWeek == DayOfWeek.Friday)
        {
            throw new Exception("No wotsit generation on Fridays!");
        }
        _wotsitDbSet.Add(new Wotsit());
    }
}

public class WidgetGenerator
{
    private readonly IDbSet<Widget> _widgetDbSet;

    public WidgetGenerator(IDbSet<Widget> widgetDbSet)
    {
        _widgetDbSet = widgetDbSet;
    }

    public void GenerateWidgets()
    {
        _widgetDbSet.Add(new Widget());
    }
}

MyContext.cs

public class MyContext : DbContext, ICompleteUnitOfWork
{
    public IDbSet<Widget> Widgets { get; set; }
    public IDbSet<Wotsit> Wotsits { get; set; }
}

public interface ICompleteUnitOfWork
{
    int SaveChanges();
}

Program.cs

class Program
{
    static void Main(string[] args)
    {
        using (var container = CreateContainer())
        {
            var coordinator = container.Resolve<Coordinator>();
            coordinator.DoStuff();
        }
    }

    private static IContainer CreateContainer()
    {
        var containerBuilder = new ContainerBuilder();
        containerBuilder.RegisterType<MyContext>().AsSelf().AsImplementedInterfaces().InstancePerLifetimeScope();
        containerBuilder.Register(c => c.Resolve<MyContext>().Widgets);
        containerBuilder.Register(c => c.Resolve<MyContext>().Wotsits);
        containerBuilder.RegisterType<Coordinator>();
        containerBuilder.RegisterType<WotsitGenerator>();
        containerBuilder.RegisterType<WidgetGenerator>();
        return containerBuilder.Build();
    }
}