Yes, it's normal.
The weather we see in the sim (P3D and FSX are the same in this regard) is not really produced by the weather engine (like ASN or Opus). It is produced by the sim itself using the data, the weather engine injects. And the sim is said to be not very good in doing this; and it becomes worse the further away from your aircraft it is. When the weather engine injects the weather the sim deals quite well with it around your current position. Further away the weather produced by the sim goes more and more astray from what the weather engine injected.
So the weather in the sim at stations far away from your position can be totally differrent to what your weather engine says. And since PF3 reads the weather in the sim (through FSUIPC) and not the weather of the weather engine, the destination ATIS is unusable as long as you get closer to your destination.
I found the limit to be somewhat between 50 and 80 nm. So if you want to be sure to get a reliable ATIS wait until you are 50 nm from your destination.