New Twiddle

components.destroyed-component.js

import Ember from 'ember';

export default Ember.Component.extend({
  didInsertElement() {
    this._super(...arguments);
    
    console.log('in didInsertElement');
    
    Ember.run.schedule('afterRender', () => {
      console.log('in afterRender');
    });
  },
  
  willDestroyElement() {
    this._super(...arguments);
    
    console.log('in willDestroyElement');
  }
});

components.service-mutating-component.js

import Ember from 'ember';

export default Ember.Component.extend({
  sharedService: Ember.inject.service(),
  
  didInsertElement() {
    this._super(...arguments);
    
    console.log('mutating shared service');
    this.set('sharedService.showDestroyedComponent', false);
  }
});

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  sharedService: Ember.inject.service(),
  
  actions: {
    toggleTest() {
      this.toggleProperty('sharedService.show');
      this.toggleProperty('sharedService.showDestroyedComponent');
    }
  }
});

services.shared-service.js

import Ember from 'ember';

export default Ember.Service.extend({
  show: false,
});

templates.application.hbs

<button {{action "toggleTest"}}>{{if sharedService.show "Tear down test" "Run test"}}</button>
<br>
{{#if sharedService.show}}
  {{#if sharedService.showDestroyedComponent}}
    {{destroyed-component}}
  {{/if}}
  {{service-mutating-component}}
{{/if}}

templates.components.destroyed-component.hbs

<p>destroyed component template</p>

templates.components.service-mutating-component.hbs

<p>service mutating component template</p>

twiddle.json

{
  "version": "0.10.7",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "2.9.1",
    "ember-data": "2.10.0",
    "ember-template-compiler": "2.9.1",
    "ember-testing": "2.9.1"
  },
  "addons": {}
}