No not wrapping.If you’re going to use pliers my guess is you will wrap the string around them and pull. In that case you can’t easily squeeze at the same time. With a starting you just clamp the string and pull the same way without having to wrap the string.
EDIT: I’ve used clamps for stringing for years stringing a lot of rackets. If any clamp is going to wear out it will be a machine clamp before a starting clamp.