Perform a thought experiment: Sven Birkerts publishes one of his reviews on his own blog rather than in one of the newspaper book review sections. Does it thereby get lost in the slipstream, its content too "fluid" to manifest "authority and accountability"? Does it automatically lose its authority? Having "New York Times" stamped on it is what finally confers authority, regardless of how compelling the review is in and of itself? Is literature really well-served by this specious, artificially-induced authority?
Thus, this kind of more reflective criticism has to be done in magazines and newspaper book reviews (perhaps in literary magazines as a supplement to the fiction and poetry these publications mostly feature) or it won't be done at all. Critics such as James Wood, Sven Birkerts, and Daniel Mendelsohn do engage in this sort of criticism, and they generally do so in the form of book reviews. It's not just a matter of the extra space allotted to some reviews in publications such as The New Republic or the New York Review of Books. These critics bring something other than "consumer guidance" to their reviews, even when (as they do) they write newspaper reviews. They bring a wide and deep knowledge of literary history, an ability to place current works of fiction or poetry within the context of that history, and an understanding that expressions of judgment need to be grounded in honest analysis. Even when I don't agree with them, I usually feel that they have proceeded through a "familiarity with the practices generally associated with the 'literary,'" (as I put it in my original post) and that they are ultimately most concerned to advance the cause of literature as a whole.
Nothing easier, just google “Newspaper Book Review Editors”
While newspaper book reviews are becoming rare, book reviews on and are helpful as people decide what books to buy. If someone complements your book (in person, by email, in social media, wherever), authors should get bold about encouraging those people to write reviews. It doesn’t take long (I in 5-10 minutes) and many people are willing to do it.