Hello. I've just read the page of PS chronology and timeline (After War). I was surprised to see a number of precise years related to PS3 events. Out of curiosity I checked all the references and I haven't found a single date that placed the game chronologically. Also I don't remember any of the 4 games dialogues mentioning any year count for the Alisa III history.
IF all I said turns out to be correct, then I think the years written in the wiki were guessed and imho wrong.
------------------SPOILER WARNING PAST HERE-------------------
The author chose to match the Orakian-Layan war with the start of PS4, making PS3 the last story of the saga by 1k years of distance. This either contradicts the definitive resolution against ProDar after PS4 and the screenshot I attached. The NewMota sage words conclude that a millennium before PS3 present events, PS2 second half of the story was happening. Then the Orakian conflict wouldn't be contemporary to PS4 anymore, but PS3 could. They'd also have a surprising common destiny of technology shock and monster increase during the same span of time.