I'm going to have to start working on this one very soon. In my experience, very fast repeated note technique should not derive it's success from a good piano. It's failure can possibly be attributed to a very bad piano, perhaps.
In this case, I don't think I'd use the same finger for all the notes, i'm surprised it's possible to be honest but if someone like Valentina makes a demonstration of it, then that makes a statement. I have a Peters edition in my possession of the Rhapsodies and it has 2 sets of fingerings both of which are alternating/switching fingerings always. I've already settled on which i'll use.
Last time I worked on heavy repeated note technique i did develop a preference of one piano over another, but bias of that kind was probably part of the learning process, at certain stages my familiarity of the material was inconsistent. Once learned properly, however, it simply does not matter. Cold hard statment: either you can do it or not (after a lot of work, sure). I'll point out the passages i'm thinking of I was able to play to my satisfaction on a yamaha clavinova too.