Tom,
It ties into information theory. If the same information can be recorded on any medium, say a song on a vinyl record, cassette tape, or cd, then logically the same medium can be used to record different information. The vinyl repressed, the cassette or cd rerecorded.
The question is whether they can store different information at the same time. That does depend on how you define both the information and how it is accessed. Such as a holograph, where different angles form different images, but that is as much a function of how the information is perceived, as how it is recorded.
Now say the medium is me throwing a ball up in the air. Effectively the information of it leaving my hand is recorded over by it flying through the air, as that is recorded over by it hitting the ground, since the medium is the ball and it can only manifest one position, since it is only one ball. So in order to progress from one configuration to another, the prior must cease to exist.
Now like the holograph, different perspectives can yield different information. Say you are several hundred thousand miles away, with a very good telescope, watching me throw that ball. Given the finite speed of light, you will be seeing it leaving my hand, at about the same time as I'm watching it fly through the air. Yet just as I only see it at one position at a time, so do you, even though it is delayed by consequence of your more distant perspective. This does not mean the ball exists in some super-position, or is eternally extended along this trajectory, only that information is both a function of transmission and reception.
Otherwise I don't see any realistic physical explanation for how it can actually exist all along some time vector. If you have some explanation that sounds reasonable, I'm all ears, but just putting the math up on a pedestal and insisting it explains all, without showing how, doesn't count.
Regards,
John M