Logger.LogDebug vs Debug.WriteLine

I have this program

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using Microsoft.Extensions.DependencyInjection;
using Microsoft.Extensions.Hosting;

namespace debuglogtest
{
    public class Program
    {
        public static void Main(string[] args)
        {
            CreateHostBuilder(args).Build().Run();
        }

        public static IHostBuilder CreateHostBuilder(string[] args) =>
            Host.CreateDefaultBuilder(args)
                .ConfigureServices((hostContext, services) =>
                {
                    services.AddHostedService<Worker>();
                });
    }
}

With this worker

using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.Linq;
using System.Threading;
using System.Threading.Tasks;
using Microsoft.Extensions.Hosting;
using Microsoft.Extensions.Logging;

namespace debuglogtest
{
    public class Worker : BackgroundService
    {
        private readonly ILogger<Worker> _logger;

        public Worker(ILogger<Worker> logger)
        {
            _logger = logger;
        }

        protected override async Task ExecuteAsync(CancellationToken stoppingToken)
        {
            _logger.LogDebug("_logger.LogDebug");
            _logger.LogTrace("_logger.LogTrace");
            Debug.WriteLine("Debug.WriteLine");
        }
    }
}

and this configuration

{
  "Logging": {
    "LogLevel": {
      "Default": "Debug",
      "Microsoft": "Warning",
      "Microsoft.Hosting.Lifetime": "Information"
    }
  }
}

When I run this in debug dotnet run -c Debug i get this in the console

dbug: debuglogtest.Worker[0] _logger.LogDebug

And this in DebugView

This is expected, because as i understand it, when we compile our program, we get get debug logging. But when i compile this in release with dotnet run -c Release I still get this in the console

dbug: debuglogtest.Worker[0] _logger.LogDebug

But nothing in DebugView:

What i expect:

1. _logger.LogDebug is written both in console and in DebugView when compiling in debug, and no places when compiling in Release
2. Debug.WriteLine is written in DebugView when compiling in debug

What is actually happening:

1. _logger.LogDebug is only written to console, and not DebugView in debug mode

Debug.WriteLine is correctly written only when compiling in debug mode.

I thought that LogDebug was calling Debug.WriteLine under the hood, but maybe Debug.WriteLineand Logger.LogDebug is two different things? I surely looks like it. I think this is confusing because, we need to control Debug logging in two different places (when compiling and filtering). If i read the docs: https://docs.microsoft.com/en-us/aspnet/core/fundamentals/logging/?view=aspnetcore-3.1#debug it says that it calls the same Debug.WriteLine:

The Debug provider writes log output by using the System.Diagnostics.Debug class. Calls to System.Diagnostics.Debug.WriteLine write to the Debug provider.

Am I doing something wrong? I must be misunderstanding something. I want to be able to control Logger.Debug when compiling in Debug mode. Is that not possible?

UPDATE

If i check the source (even though it is kind of old (does anybody know an updated reference, please specify)): https://github.com/aspnet/Logging/blob/master/src/Microsoft.Extensions.Logging.Debug/DebugLogger.debug.cs I can see that it defines #define DEBUG, and calls the Debug.WriteLine, but it doesn't add up in my head. It should be showing up in DebugView, but it doesn't in both debug and release mode.