I had great luck at BLT, though with TP the default wording of the fax is more generic (ex. room 5737,5739,5741... e/w facing).At BLT I got almost the exact room that I was looking at, just a few floors higher. It may have helped that I added in the comments box exactly why I was requesting the room (high floor, fireworks view).
Now AKL was a different story, made requests through TP on two different occasions once for Jambo and once for Kidani, for essentially the same view (partial savannah view) and didn't get it either time. Once got a pool view and once a parking lot view on the 1st floor at Kidani, so essentially I could read the vehicles license plates)
Is it luck of the draw, or does BLT actually look at the fax and AKL tosses it in the circular file unread? I don't know, but my thought process is that requests are never guaranteed and it can't hurt to ask!