Question about Pokemon Nuzlocke?

If you're recording then I'd say yes. It's because you could've easily went against the rules if you train outside of your recording and seeing the internet is full of monsters there will be people picking that point up. So if you're going to record, record the whole thing..

No, as long as you follow the basic rules, there's nothing against that. Good luck with your nuzlocke!

I would say its fine. Just people may assume that your cheating. There are always people who will think negatively about your videos, remember that.