Looking at the individual growths, I thought Brassavolas look more terete, while the pieces in your picture look semi terete. Also in Brassavolas the individual growth would start at the base of the plant, not down another growth. Those were the reasons I thought Epi parkinsonianum/Coilostylis parkinsoniana.
But, having made plenty mistakes identifying non-blooming plants, so I would think it is always a good idea to be cautious…..
edited to add - I am just moving plants outside and I am looking at my Brassavola Little Stars - hmmm, the growth is much more open than I had in my memory….but at least they are coming from the base of the clump.