My guess would be yes, as Kronos was making Inferno and it seems like the same staff would be involved, they were a small outfit. So if they got the original writer on board, he could have very well done all three games. But I don't know for sure.
EDIT: Now looking at it more closely, the KS page lists John (the original writer) as Story Consultant and writer, while Lucie (presumably Sushee staff) is just listed as writer. Seems to be in good hands.
EDIT: Now looking at it more closely, the KS page lists John (the original writer) as Story Consultant and writer, while Lucie (presumably Sushee staff) is just listed as writer. Seems to be in good hands.