study says DRACO triggers apoptosis by targeting pathway steps such as Apaf-1 or FADD. I can't see Apaf-1 on the diagram, but FADD is there (at about 11 o'clock), and has an apoptosis pathway that does not appear to involve any of the EBV blocking points that you mention.
Though I have no confidence in my abilities to decipher such a complex apoptosis pathway, which I know absolutely nothing about.
The study does say that:
Pan-caspase and caspase-9 inhibitors eliminated DRACO-mediated apoptosis in the presence of dsRNA.
I know that DRACO and VTose have not been tested against EBV, but there are plans to do so.