Just going from memory, the set trigger feels like it has to sort of 'cam over' a sprung roller. (Similar to a cupboard door retainer) pushing the trigger forward puts it in front of the roller, as you squeeze the set trigger to fire, it has to overcome the roller to come back and carry through to activate the main trigger. (It might work a different way, so take my blind read of it for what it is)
I think if it adjusted to be too fine, it almost balances on the roller, and when squeezed it doesn't have quite enough run up to get momentum to activate the main trigger, even though it is a set trigger it seems to need a minimum trigger pull weight to operate reliably.
How that translates to what is happening with your stock, I can only guess, given that the above is a bit of an informed stab in the dark, trying to guess why the stock is interfering would be going right out into the weeds.
But in short, I have found that a slightly heavier (and it is still very light relative to the main trigger) set trigger is better overall than very fine.
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