Did the Waffle Crew change time or not? My understanding is that after Paultin killed his evil shadow the WC was sent to past Barovia. The events that happened, with them in the past, caused a changed outcome for present Barovia. So wouldn't Strahd never have been put into the puppet? And wouldn't the current Izek have never encountered the WC?

I will roll with however Chris Perkins wants the story to go since he's the DM, but I would like some clarification on to how the WC affected the present when they were sent back. I know they remember all they did before, but I'm still lost on what did and didn't change. Unless Izek got the Strahd doll and entered the Shadowfell before the WC changed events and thus Izek wasn't affected by the change. I don't know if the Shadowfell would react to time travel happening outside its realm since time works differently in there.

Please help me understand.