I just re-read Hairenough`s post above--- he`s right of course...the mistake I made was trying to slip the blade in between the lace and the name-tag.
However, that stitching is so small, that it would be hard to even get a ` start` on the thread on the top-side of the tag.... I wonder would a small sewing-needle pushed in to the stitches on the top surface of the label, kind of stretch/snap the thread ? I guess it would be still easier to do when the system has ` loosened up` a little after a bit of washing/wearing.