222° isn't a "big deal" so to say, but it doesn't need to get this hot. Nothing gets better as the temps get higher than 200°. If I were you, I'd just install an aftermarket trans cooler in series with your stock one so the temps stay at or below 200°.
Also remember that your transmission is cooled by your engine temperature coolant. If your engine was always running at 200 last year, and your trans ran at 210, but this time your engine was running at 210, and your trans was running at 222, that would be normal.