Okay, this was the setup.
The bottom counter broadcasts on channel Trigger1 when stepped on.
Both of the middle triggers trigger when receiving on channel Trigger1. However, the left trigger transmits on channel Trigger2, and the right one transmits on channel Trigger3. The counter increments when receiving on channel Trigger2, and resets when receiving on channel Trigger3.
I ran it, and it always stayed at zero.
I then deleted channel Trigger2, and replaced it with channel Trigger4.
I ran it, and it always said one.
Conclusion: Gimkit processes channels in order: the oldest channel made is the first one processed.