Thanks for the file, Devoted, this is very specific and on the point.
The problem is based on a none cached Delay Field.
Here is a render (very small!) with the scene on top and no cache, and the bottom with MoGraph cache.
https://www.amazon.com/clouddrive/share/V4IkdMNkjPVCWHax34bphudbkafpv61YdrbU9beRlVt
Select the two Cloner, go to the Object Manager> Tags> MoGraph Tags> MoGraph Cache.
While they are selected, Attribute Manager>Build> Bake.
Then render.
You should experience no problems in this regard anymore.
Cache after each change.
A good indicator that you need to cache is given if you can’t scrub through your time line with repeatable and smooth results.
Enjoy your render-farm and your weekend
Image below, the green icon indicates a baked/cached Cloner.