Adapt code to work with removed third-party parameter in filter matcher

See trac#7260

Hints for testers

URL-specific notifications should be shown (or not shown) in bubble UI accordingly. For that, the following dummy notification can be used which should be shown when navigating to any page on example.com:

{
  "message": "Message",
  "title": "Title",
  "type": "information",
  "urlFilters": ["||example.com^$document"]
}