Influencing allflame ember item drop rates

So we tested singular allflame ember of [random influence] items on t16 maps with moderate juice. We found exactly 0 items with influences after 10 maps, so there should be something miscalculated with drop rates.
We made advantage of the lantern of arimor wherever it was possible, so it'd be pretty nice to implement higher drop rates for these monsters, to see at least one influenced item per map (not on a per pack basis, but at least one per map).

Thanks for your responses! :)