Khenpo Karthar Rinpoche said there's no basis for this idea, and he has advised to just go in one direction, and not worry about it.....but to each his or her own.
Thank you for weighing in Cone, it's good to know what other teachers are saying. I believe it, not all teachers will
teach the same way, or be strict about "style" or "how toos" for instance.
But with that said, I think that Lama Tserings's comment about skipping over the Guru Bead could be taken out of context though. She may not have meant that practitioners should just keep going round and round, but perhaps what was meant by her comment was that just about everybody is going to skip or cross over the Guru Bead once or twice, and its ok, it's not the end of the world. Tersar Lamas often don't cross the bead.
I don't think CHNN Rinpoche ever taught that using the mala by going round and round is the way to use a mala within DC neither do I think CHNN implied that that is the way he does it, but it may not matter to CHNN which way people do this, he does not teach how to use a mala generally or often at all, it's not about the counting when it comes to DC.
What I said before was true, ask your own teachers.