You probably already have your answer from the above, but just to look at it from a slightly different angle: You are right that the photon itself should be well preserved and seem as young and fresh as the moment it was created, though it has been stretched out along the way by space expanding around it. As Ken and others have noted, the material that created the photon are not moving as fast, and there is a duration for the movement of the photon in our frame of reference, so what we see happened a long time ago.
Originally Posted by Beards
In a related idea, if you are driving in NYC, and the traffic light turns green, you have about 25 nanoseconds between when you see the green photons, and when they car behind you sees them. This is your window to start moving the car before he honks the horn.
Forming opinions as we speak