I'm a bit rusty when it comes to factory, but:
https://gyazo.com/d5040a500864bc2ea58302f70a8ba69c.gif
here's whats happening:
1. The inserter takes repair kits from the requester chest.
2. The inserter puts repair kits into the repair turret.
3. The requester's chest needs more repair kits, so request them.
4. The logistic bots grab repair kits from the repair turret.
5. The logistic bots put the repair kits into the requester's chest.
Repeat steps 1-5 ad infinitum.
That... seems like a bug?
