New Twiddle

application.controller.js

import Ember from 'ember';

export default Ember.Controller.extend({
   hideHomeButtonRoutes: ['index', 'login'],
    isHomeButtonVisible: Ember.computed('currentRouteName', function(){
      return this.get('hideHomeButtonRoutes').indexOf(this.get('currentRouteName')) === -1;
    })
});

application.template.hbs

<h1>Current route {{currentRouteName}}</h1>

{{#if isHomeButtonVisible}}
{{#link-to 'index' tagName='button'}}home button{{/link-to}}
{{/if}}
<br/>
{{#link-to 'other-route' tagName='button'}}other route{{/link-to}}

othe-route.route.js

import Ember from 'ember';

export default Ember.Route.extend({
});

other-route.template.hbs

<h1>Current route {{currentRouteName}}</h1>

router.js

import Ember from 'ember';
import config from './config/environment';

const Router = Ember.Router.extend({
  location: config.locationType
});

Router.map(function() {
  this.route('other-route');
});

export default Router;

twiddle.json

{
  "version": "0.5.0",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "https://cdnjs.cloudflare.com/ajax/libs/ember.js/2.2.0/ember.debug.js",
    "ember-data": "https://cdnjs.cloudflare.com/ajax/libs/ember-data.js/2.2.0/ember-data.js",
    "ember-template-compiler": "https://cdnjs.cloudflare.com/ajax/libs/ember.js/2.2.0/ember-template-compiler.js"
  }
}