Forum:Archfiend Zombie-Skull and Black Rose Dragon

While dueling my friend I cam acroos an interesting problem. I had zombie woorld active on the field and I had my Archfiend Zombie-Skull on the field. I syncro summoned my DOOMKAISER DRAGON and brought back his gale from his graveyard. I acti vated book of life and brought back my pyramid turtle and syncro summoned for my Black Rose Dragon. Since he had two face down trap or magic cards and one face down defense monster I decided nto activate Black Rose's effect to blow up the field since both my monsters would be safe due to Archfiend Zombie-Skull's effect. Here is the problem. Since zombie world was in effect my black rose was a zombie when it was syncro summoned and since its effect causes it to destroy itself while destroying everything else wouldn't Archfiend skulls effect prevent black rose from destroying itself?