I don’t think this is accurate any more.
Basically while there MIGHT be exceptions made, they’re on a case-by-case basis and there’s no “set” timeframe where it will be allowed vs. not.
Best option past 60 days is AppleCare One, as others have mentioned… you’ll need a qualifying device; purchased within 60 days or with existing AppleCare+ to start AppleCare One. But once it’s started you can add just about any device purchased within the past 4 years.