I can confirm that the bleeding does happen with the self applied sheets.
I had two old badges I noticed it on.
This one http://i1231.photobucket.com/albums/...ps64438976.jpg where the colored pencil seems to have minimized the bleeding.

And this one: http://i1231.photobucket.com/albums/...ps28b5752c.jpg which is a mess.

Prismacolors do not seem to agree with lamination. Still no idea about copics though.