The date was moved up to 164, to coincide with new data on the death of Antiochus as no battle in 165 can be confirmed.
Antiochus certainly didn’t ‘just give it back’ after he was dead, and he died in (what is now part of) Iran. The timing of the rededication of the temple is consistent with 165 BCE, though the actual events are certainly in question. Whether the battle of Emmaus actually happened as described (in 165 BCE), it was (purportedly) led by Lysias, while Antiochus was going to Ecbatana, so there isn’t a need to move the event based on the death of Antiochus (who wasn’t at Jerusalem in or around December of either year).
I merely pointed to the later article in MyJewishLearning that uses the new dates to save time.
My conclusions are not based on the citation from MyJewishLearning. I simply cited that site to demonstrate that there is variation in what sources say. But it is not at all new for sources to vacillate between 165 BCE and 164 BCE for the rededication of the temple.