It will, but it would probably take several passes. One to remove the jacket, and another to strip the twisted pairs. I would cut it into short pieces so that a single strand could be run through at a time, so that it doesn't crush the copper into tiny bits. Six feet is usually short enough to separate in a few seconds per pair. My design was for electrical wire, but it can be scaled up, or down for other sizes.
BTW, I have been trying to arrange some oral surgery for a long time. If I don't get it soon, I probably won't be around much longer. The antibiotics run out tomorrow morning, and every oral surgeon in my area has taken one look at the xray and refused to even attempt to remove the infected teeth. The Florida State Dental school wants $110 a tooth for emergency extractions, then they play a lousy lottery game with their potential patients every day. It's a 90 minute trip for me to get to the college. You have to be there before 7:00 AM, then after everyone has registered, they draw names of those they will treat, that day. That means that i have to find someone willing and able to take a day off from work, until i finally get treatment. Also, they only do one tooth per patient, per day.