Apparently Dracomon gets two different eggs for the two evolution lines: one dark colored egg and one light colored egg.
In similar news, the requirement for the anime eggs is BS and makes Omegamon a bigger pain than Alphamon to get. You need to connect to five different V-pets. I don't know if it's been confirmed whether old V-pets and Digivices count towards the number. It seems resetting and changing the name of another 20th anniversary V-pet will make it count as a different connection each time.
Do you have pics of the differences? The 20th website only shows the one Dracomon egg, which I unlocked.
I heard something completely different for the anime eggs, I heard you just need to go another digimon or two after unlocking the anniversary eggs. That really would be BS if it's as you said though. Definitely gonna be going for Omegamon last then.