Blender: 2.8 (release)
Animation Nodes: 2.1.4 (graphicall release)
The lamp moves with the particle on the provided sample file, when Auto Execution is enabled with always, or with frame change.
With the new blender the 3D Viewport freezes its frame on render, and particles has the same position on the entire animation.
I found a workaround if someone is experiencing the same issue:
Now the render should be correct.
Thanks for the report! I can replicate the issue.
Fixed in #1294 and b1ac938.