Cosmetic eyebrow tattoo removal. Can it cause hair loss?

I have my eyebrow tattooed on (containing iron-oxide) and I am interested in getting laser tattoo removal. I have read mixed reviews about using a laser. I read that cosmetic tattooing is difficult to remove because it reacts negatively with lasers. I have also read that back is the easiest color to remove by laser and the more research I do black has iron-oxide in it. By eyebrows are brown and flesh color.I have also read mix reviews about it causing permanent hair loss in eyebrows.