I can only tell you what I did. Use it as you see fit.
I did two weeks of induction. The first week I exercised for 20 minutes on the elliptical every day. I lost over 10lbs. The second week I didn't exercise at all. I lost about 3-4lbs. So, no, cardio didn't stall my weightloss. But you don't want to wear yourself out while transitioning off carbs so I wouldn't do anything too strenuous.
However, I have found that whenever I start a strength training exercise I gain a little weight for a couple of days. But that is just your muscles holding on to water as they repair...it will come back off.
Starting Weight - 250 (06/23/14)
Mini Goal #1 - 240 (07/01/14)
Mini Goal #2 - 230 (09/10/14)
Mini Goal #3 - 220