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.
This is my second time around with weight loss. Originally lost from 220 down to 155. Learn from my mistakes and don't relapse! LOL