New Game Plus & Lore Implications [AC6 Spoilers]

what is the lore reasoning for NEW GAME + and NEW GAME ++? clearly, as new things happen each time, there is some continuity here; it's not simply "starting over" with no knowledge of what happened before, even Ayre says "let's see what you do this time" (or something along those lines). so, the question is: what's going on here? is it some form of time travel that only some people are aware of (Ayre, being one); is it Coral influence, meaning the Coral can alter time?