Fury Valve with Chain, how it exactly works?

Hello all,
so i just tested Chain Support (+2 chain) with Fury Valve amulet. But still cant figure it out how it exactly work, so can someone confirm this theory or disprove:
1. If i fire one arrow just with Chain support, it will hit 3 targets
- hit first target -> chain
- hit second target -> chain
- hit third target -> end

2. If i fire one arrow just with Fury Amulet, it will hit 3 targets
- hit first target -> split into next 2 arrows
- hit two targets -> end

3. And this is tricky part, what will happen when i combine previous 2 scenarios, to me it seems it works like this:
- fire arrow A
- arrow A will hit first target, chain and create 2 additional arrows B and C
- arrow A will hit second target, chain and crate 2 additional arrows D and E
- arrow A will hit last(third) target, create 2 additianl arrows F and G and then arrow A end
at this point i hit 3 targets with original arrow A and create 6 other arrows B,C,D,E,F and G
- every arrow B,C,D,E,F and G will now also chain 2 times, so for 6 arrows it is 18 targets + 3 targets from original arrow A = 21 targets total.

Is this right or it works differently, because i try test it (with elemental hit), but arrows are so fast i cant see them properly.

Edit:
4. Or instead scenario 3. it will hit just 9 targets?
- original arrow will chain 2 times and split only one time into 2 arrows which will also chain 2 times, so 3 hits from original arrow + 6 hits from split arrows = 9 targets

In case you're still curious the projectile modifiers work in this order of importance

Pierce>Fork>Split>Chain

with split being the modifier for the fury valve

So in your case it would split after the first hit and the 2 new projectiles would chain at least from my understanding of it.