How to use the controllers and views in a multi-tenant application

The sample multi-tenancy project (MultiTenantApplication.csproj) works fine with razor pages but how should we enable controllers and views?
Trying to add them by adding

builder.Services.AddControllersWithViews();
...
app.MapDefaultControllerRoute();

results in the error:

ArgumentException: Value cannot be null or empty. (Parameter 'areaName')

if instead of MapDefaultControllerRoute() I use endpoints like this:

app.UseEndpoints(endpoints =>
{
    endpoints.MapControllerRoute("MyDefaultRoute", "{controller=Home}/{action=Index}");
});

It works fine, but when I want to use DI to inject shell settings as in the razor pages sample in the index view

@inject ShellSettings settings

And use constructor injection

    public class MessageController : Controller
    {
        private readonly ShellSettings _settings;
        public MessageController(ShellSettings settings)
        {
            _settings = settings;
        }
   }

I get the error:

InvalidOperationException: Unable to resolve service for type 'OrchardCore.Environment.Shell.ShellSettings' while attempting to activate 'MultiTenantApplication.Controllers.MessageController'.

Start with MultiTenantApplication.csproj and trace the sample's Razor Pages setup alongside AddControllersWithViews and the routing calls shown in the issue. Inspect how ShellSettings is registered and consumed by the index view and MessageController; done means controllers and views work in the multi-tenant sample and ShellSettings can be injected without either reported exception.