I guess that's what im getting at. What are the timestamps?
If we see light from really far away, and it has red-shifted, then are we assuming the stretching is consistent for the whole distance or is there more stretching at the beginning or end of the trip? If the expansion is accelerating then more of the red-shift happened recently when it got closer to us since farther away also means older.
My thought was what if most of the red-shift happened when it was still far away from us thus meaning it happened a long time ago.
Like you mentioned some kind of timestamp would tell us, I just don't know what those timestamps would be. I'm sure there's something obvious I'm missing, but the only way I can think of to measure the difference in red-shift from the same light source at different points in its journey is to measure it from two vastly distant perspectives.
I guess if you measure red-shift from closer objects and compare it to the farther objects, and its not linear based on distance. Accelerated expansion would mean closer objects have a higher ratio of red-shift to distance than the farther objects?