What happens with dazzling aurora if you find no units in your deck, does the opponent get a point for decking out?

No, your opponent does not get a point.

According to RiftJudge FAQ #3394, #3424, and #6488, revealing your entire deck while resolving Dazzling Aurora does not cause a Burn Out.

Why this happens:

1. Zone Definition: Cards being revealed are still considered to be in the Main Deck zone during the resolution of the effect. Therefore, the deck is never technically "empty" while you are revealing cards.
2. Completing Instructions: If you reveal your entire deck and find no units, you have completed as much of the instruction as possible.
3. Recycle: Once the effect finishes, you simply shuffle (recycle) all the revealed cards back into your Main Deck.
4. No Burn Out: A Burn Out (which awards your opponent a point) only occurs if you attempt to draw or reveal from a deck that is already empty before starting the action.

In short: because you do not attempt to resolve the effect while the deck is already empty, and because the revealed cards remain in the deck zone until recycled, no Burn Out is triggered.