The purpose of the quantum sensing the past experiment is to realize that there are many pasts and each one you can sense does exist. There are universes where I had no drinks that night and universes where I had more drinks that I could count. My classical self experienced one of these and my quantum self experienced them all. When you are quantum sensing the past or the future, keep in mind that you are sensing not just one but a multitude of different past and future universes. The question of which universe in the past was classically experienced is not important. The real answer to be aware of is “all of the above”.