I've not had good luck with Park cable cutters. I like Shimano cable cutters much better.
That's one of the reasons why I don't like took kits. Nobody makes the best of everything. Cable cutters, unfortunately, are one Park tool that I happen to dislike.
For most applications I use generic slick galvanized cables rather than stainless. I find they work equally well and I can solder the ends. If you solder the area before you cut, there won't be any fraying.