Cold Iron Point Eternity shroud build idea

Ok i have wierd build Idea -take phisical spell scale its damage out of levels with cold iron point convert it to lithing usigle various means than using 2x quality call of the brothehood convert to cold than convert to fire with cold to fire and at the end add 50% of ele damage as extra chaos so using cold iron point should eliminate all elemental damage and leave me with only chaos damage.
( and ofc to use trickser for some extra chaos dmg )
https://pathofexile.gamepedia.com/Cold_Iron_Point
https://pathofexile.gamepedia.com/The_Eternity_Shroud

Will that fail and not work at all?

ofc tath build would be realy expensive becouse it requires shaped cold iron point/points eternity shroud shaped calls of the bretherhood

Anyone knows if that would work at all? (if so its gona be my goal for next leuge)