The front page, like the Active sort option it mimics, is designed to report the most recent activity on the site and sort by it. This means the initial asking of a question, any time a question gets a new answer, and any edit made to any post. This is reflected by showing who the source of said activity was. On other pages (like on Searches, or with the
votes, and similar sorts), we display the original author.
active sort retained its recent-activity-sort, but the time stamp and author instead reflected the original author of the question, then the order of posts on the page would be unintuitive. Even if the sort order was known (which, thankfully, the tooltip explains), you are left without a means of knowing what the activity was, or who was behind it. This is counter to the purpose of that sorting, which is explicitly to draw attention to the activity and who was behind it.
faq sort, which does display the original author. Putting aside the incredibly vague tooltip, there isn't any data on the page to explain the sort order, making it equally unintuitive. However, the focus of the page is on the questions themselves for being asked very often. The raw link data isn't quite all that important, compared to the intended convenience of being able to quickly find questions to use for frequent duplicate closures.
As recommended in the comments, I suggest using the
newest sort if you want to watch for potential new questions from users you respect or admire. Active sort is intended to point out when people post new answers or make changes to posts, and noting who and when it was (and, on the front page, linking directly to that activity via time stamp) is very conducive to the intent of that sort method.