Involving time travel in the calculus makes it much more convoluted, not simpler. The simplest explanation is more rooted in the ideas of hundredth monkey concept or mass fomation psychosis depending on how charitably you want to frame the 'false' consciousness. I have heard even wilder theories that make the SSPers and flat earthers seem reasonable. It's an interesting idea to explore. Have you ever seen the high man in the castle?