TL;DR
add a logic that when inserter steal item from another inserter "P",it will update the "P" to check its fuel slot and trying take fuel from where it take item from.What ?
when playing space exploration,because it wasn`t give you belt at begining,so I just do this to fuel the burner machines: it can work,for the first few coal,however because inserter wasn`t update the inserter it took its fuel,so the pervious inserter will not trying take fuel from perv inserter,and so on and so forth,it will not work.