It should have armor included in the ingredients list, yes.pg 36 protective inscription
this has a target item armor but dose not have armor listed in the ingredients, most other superior equipment has listed and Adventuring equipment needed in the ingredients list.
The <effect> in your example is “25 ice” as that is the effect generated by the scrolls.Pg. 38 Elemental Runed Weapon
should the call "Elemental Strike <effect>" also have # in-between the strike and Effect, or would that be notation that its you normal damage ex. "elemental strike 2 ice" versus "Elemental Strike 25 ice" if 3 25 ice scrolls were expended during construction