Shaper of Flames & Stormfire "Conversion" Interaction

I just want to know if I can use Stormfire to make Lightning Damage "proc" Shaper of Flames' 25% more bonus damage. Seems extremely difficult to test.

I know, I too, at first, thought... no chance. But between "base damage" vs "hit damage", pre or post conversion, DoT vs Hit scaling categories... I'm not actually sure what Shaper of Flames is checking and WHEN

I can totally see that, Stormfire converts base lightning to base fire (which is why lightning mods scale ignite DPS with it on), Shaper of Flames checks which damage type the base damage which inflicted the ignite was, and if it pops up as fire, apply the 25% more.

But I'm making some assumptions in there probably so... some details on Shaper of Flames' maths and function would be nice!

EDIT: I've just realized that conflux makes this assumption odd. If "All damage ignites" then that would mean every ignite inflicted with Shaper of Flames would benefit from the damage bonus.

So it must look at hit damage? I still want more info on it though, for science and future reference and posterity and such