Answering my own question, I made a new game and tried it out, each execution gives 50% of swordsman damage as click damage.
I'm guessing if you absolved a lot and then executed a lot your click damage would far surpass that of the swordsmen, and that way the soulstones would increase faster. I'm still doubting to take this path, I think I'll just wait a fewhours for the singularities to pile up and the soulstones to reach infinity.
edit: if my numbers are right, it will take me 13 hours, including the increments of the singularities, though it doesn't take into account that those increments are in steps, so it'll take maybe half an hour more. I hope the wait is worth it.
edit 2: after discovering the "best time" thing my expected time is 7 hours. Neat!