Can't resolve all parameters for Component when dependency is registered within a service via providedIn option?

I've been playing with DI in Angular and can't figure out why I run into an error when specifying a service to be provided in module via providedIn.

First off, I created SharedModule, declared there SharedComponent and configured SharedService as follows:

// shared.module.ts

@NgModule({
  declarations: [SharedComponent],
  exports: [SharedComponent]
})
export class SharedModule {}

// shared.service.ts

@Injectable({
  providedIn: SharedModule
})
export class SharedService {
  prop = Math.random();
}

Then I added one lazy module, included SharedModule into imports property on NgModule decorator factory of both AppModule and LazyModule and configured my routing strategy. Here is the setup:

// app.module.ts

const routes: Routes = [
  { path: '', redirectTo: 'eager', pathMatch: 'full' },
  { path: 'eager', component: SharedComponent },
  { path: 'lazy', loadChildren: './lazy.module#LazyModule' }
];

const routing: ModuleWithProviders = RouterModule.forRoot(routes);

@NgModule({
  imports: [
    routing,
    BrowserModule,
    SharedModule
  ],
  declarations: [AppComponent, EagerComponent],
  bootstrap: [AppComponent],
  providers: [{provide: APP_BASE_HREF, useValue: '/'}]
})
export class AppModule {}

// lazy.module.ts

const routes: Routes = [
  { path: '', component: SharedComponent }
];

export const routing: ModuleWithProviders = RouterModule.forChild(routes);

@NgModule({
  imports: [
    SharedModule,
    routing
  ],
})
export class LazyModule {}

As a result, I get the following error:

Uncaught Error: Can't resolve all parameters for SharedComponent: (?).

But if I comment providedIn: SharedModule and declare a provider for the SharedService within the SharedModule it works like a charm:

// shared.module.ts

@NgModule({
  declarations: [SharedComponent],
  exports: [SharedComponent],
  providers: [SharedService]
})
export class SharedModule {}

Please see the StackBlitz demo.

When I ran it locally on my machine it gave me console.warn saying there is a circular dependency.

Circular dependency detected: src\app\shared.component.ts -> src\app\shared.service.ts -> src\app\shared.module.ts -> src\app\shared.component.ts

I fixed it as describes this guide by adding additional module intended for the service. So it's best not to rely on StackBlitz when it comes to debugging.