Users a parameter check to only make elements of current story editable.

custom_sb_directive.js

Vue.directive('my-editable', {
  bind: function(el, binding) {
    if (typeof binding.value._editable === 'undefined') {
      return
    }

    var options = JSON.parse(binding.value._editable.replace('<!--#storyblok#', '').replace('-->', ''))

    if (options.id != window.storyblok.getParam('_storyblok')) {
      return
    }

    el.setAttribute('data-blok-c', JSON.stringify(options))
    el.setAttribute('data-blok-uid', options.id + '-' + options.uid)

    addClass(el, 'storyblok__outline')
  }
})