I think (perhaps I'd better say "thought") that "in 9 days" means: tomorrow or the day after tomorrow or on the third day or on the 8'th day or on the 9'th day.
And I think that "after 9 days" means: not tomorrow or the day after tomorrow or ... or on the 9'th day, but on the 10'th day.
Am I wrong SoothingDave?