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For a LTN-type system you usually want the loading to be based on circuit wildcard.
After all, LTN requests a train to be loaded with an item when there is space for that item to be unloaded.
Thankfully with the radars functioning as wireless circuit network, it is possible for the "requester" stations to easily send for example the item's signal with a value of 1 per train needed.
EDIT: Note that you would need to substract 1 from said "global" signal every time you send a train to be loaded with that item as well.
Because the unload stations wont count as full until they actually have trains heading towards them, that condition will always be green.
And with the way train interrupts work, each train with an interrupt and accepted conditions will trigger simultaneously.
Say that you have 6 load iron and 3 unload iron available. The interrupt will trigger 6 trains, because there are 6 load iron slots free, and all unload slots count as free until you have trains heading towards them. This will leave 3 trains stuck at the load stations until there are available slots at the unload stations again.
Interrupts are only evaluated when a train leaves a station.
If your fixed train schedule consists of nothing but "head to depot; wait for N seconds" then evaluation of interrupts is inherently staggered based on the arrival time of each individual train at a depot stop. Thus, the inherent entropy within the entire pickup-delivery system will ensure that your trains can never all synchronize and stampede.
A subset of them might, but only up to what the pickup station has set as its train limit. At which point those trains will be stuck there and will block allocation of further trains until they can empty themselves again at a delivery station. Which means the system self-recovers / self-balances.