That's a very easy answer.
Mind you, I like Omega, but:
1. Bryan Danielson never looks goofy. Kenny Omega almost always does. If Danielson ever acts goofy, it tends to be actually funny. Omega is rarely funny even when he's trying to be.
2. Bryan Danielson may have had the outrageous lumberjack beard, but he never at any point looked like Lemmy and Blue Meanie had an illicit tryst and produced a baby. Kenny Omega looks like that baby right now.
3. Bryan Danielson would never, ever, ever imitate Urkel's "Did I dooooo thaaaaaat?" during a PPV main event and World Title match. Omega did.
I won't veer into absurd Cornette territory by mentioning wrestling 9-year-old girls or blow-up dolls, because that's irrelevant anyway - it was a different point in Omega's career, in front of a different culture, etc.
Overall, Danielson is more believable in the ring, on the mic, and as a character. There's no winking, nodding, chewing the scenery, breaking the fourth wall, or acting like he's "too cool for the room" while coming across as the exact opposite.
I can like Kenny - and I do - and all of that can still be true.