I think these are very interesting questions that are very hard to answer. Didn't we discuss this over PM before? Can't remember atm...
But to start with the most obvious and boring statement - I would like to see it go on IF that is Yohji himself wants. I'm not sure whether he feels that the brand itself is too connected to him as a person/creator, or if he wants his legacy to live on in the hands of whoever he deems fit for the job.
The sad thing is that it's probably not up to him. Consider that he was actually thinking about qutting at the very end of the 00's, and then the whole bankruptcy affair happened right after that. It's true that he felt it was worth fighting for the house to stay alive, and not just call it quits at the time, but realistically he probably won't be able to be in full charge of designing 4 collection every year for many more years to come. The investors, however, are probably looking to make their money back and keep the brand alive for as long as they can keep selling stuff.
As for the designer who would possibly take the helm of this ship, that is pretty much a lose-lose situation. No matter how successfully he or she will translate his/her own vision into the history of the brand there will always be that discrepancy between the creator and the customers vision of what the brand is or should be. People will just react to collections differently just because someone else is doing them. I can think of a handful collections in the last few years that - if they were designed entirely by someone else - would be considered just bleak copies of his work. I can even see how SS12, which was pretty much univerally liked or respected (form what I can tell), would garner comments like "too literal japanese references, Yohji wouldn't do that" or "just a ss04 copy" or whatever. It's gonna be hard no matter what.
I would love to hear what Yohji thinks of this, if anyone has read interviews where this topic was brought up? I also wonder how hierachical the day-to-day design work is, if it historically all came from Yohji and his patterener(s) or if a lot of the ideas also eminated from the atelier group. I'm sure the studio is very competent, and obviously they will still have all the workshops and factories involved still. However, with a studio effort, would we just get SS10 all over again?
And then for completely selfish reasons, the positive thing I can think of if the brand continues after Yohji's time is that no matter the quality of the new stuff, people will be pre-occupied with buying whatever's on the racks and I can keep picking up greatness from eras past without as much competition.
Really need to see Pina btw, thanks for reminding me! I completely missed it when it was shown in the cinemas here.