Gregory, you are correct. The tiles view that is displayed is not user-specific, but the click-through experience is personalized.
If you wanted to use Tiles, then you could use them as a launching experience. Instead of showing them "Document 123" and "Document 456" ... you can show them a "View Documents" or "View Articles" link...that when clicked will adhere to your personalized experience rules.
Something to consider, but again, you have a solid grasp on Tiles and the initial experience. Let me know if you have any further questions.
Thanks for confirming, Ryan. I like the flow of the user experience that tiles bring- we'll have to see what we can do to make it work for us.