Spells that are cast interact with other spells and class abilities including passive abilities. So please feel free to ask similar questions here. If you are not sure how something will play out, this is the thread to ask!
Here is mine for example:
If a target is Cycloned, can a priest void shift through that? Will the health percentages swap or will nothing happen.
I didn't try it, but my guess would be that it either doesn't work at all (no CD triggered) or the target is "immune" to it. When you use Void Shift, you/the target does actually take damage/heal, so I think it wouldn't go through Cyclone.