If you watch the video carefully you will see that the Mystic Binding Agent seems to allow him to batch the fragments into cores.
So for example normal you can do this,
2 Fragments + 1 Pile of Incandescent Dust + 1 Crystal + 1 Elonian Wine = 1 Core
With the Mystic Binding Agent you can do,
4 Fragments + 1 Pile of Incandescent Dust+ 1 Crystal + 1 Mystic Binding Agent = 2 Core.
I watched through your video and without actually being able to use the Mystic Binding Agent this is what I think it does. Remember these ratios…
1 Lodestone = 2 Cores = 4 Fragments = 8 Shards = 16 Slivers
Originally you could do this,
2 Sliver + 1 Crystal + 1 Pile of Radiant Dust + 1 Elonian Wine = 1 Fragment
To get enough Fragments to make a Lodestone you would need to do that above formula 8 times. Now with the Mystic Binding Agent it seems like you can do this,
16 Sliver + 1 Crystal + 1 Pile of Radiant Dust + 1 Mystic Binding Agent = 8 Fragments
You can then take those 8 Fragments and toss them into the forge like so,
8 Fragments + 1 Crystal + 1 Pile of Luminous Dust + 1 Mystic Binding Agent = 4 Shards
Then,
4 Shard + 1 Crystal + 1 Pile of Incandescent Dust + 1 Mystic Binding Agent = 2 Cores
And finally,
2 Cores + 1 Crystal + 1 Pile of Crystalline Dust + 1 Mystic Binding Agent = 1 Lodestone.
Again, I haven’t actually got my hands on the mystic binding agents so I am not sure. But, closely watching the above video and this is the conclusion I come to.
It definitely does NOT double the output. That much is clear from the video.
The OP states;
1 Wine, 1 Crystal, 4 Shards and a Dust = ONE CORE
1 Binding agent, 1 Crystal, 4 Shards and a Dust = TWO CORES
This DOES NOT HAPPEN in the video. Watch it. This is what happens,
1 Wine, 1 Crystal, 2 Shards and a Dust = ONE CORE
1 Binding agent, 1 Crystal, 4 Shards and a Dust = TWO CORES
