the west side will unload first. This image makes it a bit more clear:
![Image](https://forums.factorio.com/images/ext/8271fff8cef05b5d8fea971c13bed3a4.png)
When the train arrived at the platform, both wagons were full. When the screenshot was taken, the southern wagon was still half full. From the way the pipes are set up, there shouldn't be a reason that the volume difference is so dramatic.