I love having everything in a small case that fits in my bag, but these markers DO go through the paper. They don't bleed onto the next page, but the mark does show through on the other side of the page. If only they were the dry or pencil highlighters, it would be perfect.
I loved having everything all together so I am not trying to find it all. However I have found that they bleed through to the other side of my thin bible pages. Almost perfect but lacks in the most important area.