Seems like the simplest and correct answer is that you should ask your instructor and it is their prerogative.
Although I have to admit I see Louis' point. Rickson or maybe let's go further and say Helio don't know any of the new guards and no one is asking them for their belts back.
I think, to me (bearing in mind i'm just a purple belt), a black belt is not defined by the number of techniques you know. It is your deep understanding of the 'concepts' and your ability to solve problems.
You see this even with JJM's interview on EBR. Rickson raised JJM's game because of the concepts he taught not so much any individual techniques taught. I remember a Henry Atkins' interview as well that talked about when spider guard just came out, Rickson had problems with it. Then he comes back the next day and starts destroying everyone. Obviously an extreme example since Rickson is Rickson, but I think that is the point. There will always be new techniques, but a black belt is someone who can, from experience figure it out because he has developed his understanding of the concepts of what makes the human body work.
Esp in BJJ where standards are very subjective, where, one instructor's blue belts are a diff standard from another, I think that it's very hard to discredit someone who's a legit no gi black belt, if they exhibit the qualities i mention above. End of the day, they will figure out the intricacies and the techniques that will work for them. Just because they dont' know how to do a bread cutter doesn't mean they aren't black belts.
Maybe I'm oblivious to the significant differences because i've studied both gi and no gi my whole BJJ career, but I believe the concepts are not as different as people think. Say for example guards, people's guards work based on establishing a type of 'control' (grip or clinch etc.) on the other person. You take away that control and there is no guard. I would think that after being caught in spider grips a few times a no gi BB can quickly learn to either not let someone get the same grip, or break it or grab the person's pants next time it happens. (but maybe i'm wrong)
But again, I think it's the instructor's prerogative and all this is irrelevant in the end if you ask whoever you are training with and respect that. OR if you don't, then move.