Angular: Get reference to parent component when being content-projected

In my situation, I have a component that should behave differently if it is inside a specific component. So I want to look through the parents to find the component of the correct type, which works well through dependency injection in the simple case:

Child Component

@Component({
    selector: 'spike-child',
    template: `<div>I am the child, trying to find my parent. 
        <button (click)="log()">Test</button></div>`
})
export class ChildComponent {
    // Get Parent through dependency injection; or null if not present.
    public constructor(@Optional() private parent: ParentComponent) { }

    public log(): void {
        console.log('Parent', this.parent);
        console.log('Parent.Id', this.parent && this.parent.id);
    }
}

Parent Component

@Component({
    selector: 'spike-parent',
    template: `
    <div>
        <div>I am the parent of the content below, ID = :</div>
        <ng-content></ng-content>
    </div>`
})
export class ParentComponent {
  @Input()
  public id: number;
}

Usage, works

<spike-parent [id]="1">
  <spike-child></spike-child>
</spike-parent>

---

Unfortunately, this does not work anymore if we add one more indirection through content projection like this:

ProjectedContent Component

@Component({
    selector: 'spike-projected-content',
    template: '<spike-parent [id]="2"><ng-content></ng-content></spike-parent>'
})
export class ProjectedContentComponent { }

Usage, does not work

  <spike-projected-content>
    <spike-child></spike-child>
  </spike-projected-content>

Obviously, the child will again be inside a parent at runtime, but now it always gets null as the injected parameter. I understand that content that is projected keeps the original context (including the injector chain), which is definitely almost always helpful, but is there some way to tackle this situation? I read about ngComponentOutlet which looks like it might help, but I didn't exactly see how it could fit. I also didn't find any questions that take this last step from this situation. I guess I could query the DOM to achieve the result, but I obviously would like to avoid that and use Angular mechanics for this.

Thank you so much!

from Angular: Get reference to parent component when being content-projected