This is something that some people have said and I thought about as well.
Up until now we have only seen 2 instances of confirmed Awakened Zoans (now 3 in this chapter). The first one in impel down with the awakened guards, the second time with Gear 5th, and now with Lucci.
It's weird how Lucci, being a carnivorous Zoan (not a mythical Zoan), has the mystical ribbons that we have seen on mythical Zoans like Luffy, Yamato, and Kaido. At first it seemed like a trait exclusive to mythical Zoans, but as shown with this chapter, that's not the case (unless Lucci has a secret mythic Zoan). So one might just think that any awakened Zoan likely gets the mystic ribbons, until you remember the impel down awakened guards had no such ribbons.
Is this Oda just doing something cool for Lucci? Maybe, but I'm not too sure about that as Pythagoras notes that Awakened Zoans tend to have their minds overwhelmed and likely become primal (like what we see with the Impel down Zoans), but Lucci is in full control and his form is interesting enough for Pythagoras to also note compared to other Zoan awakenings he has seen.
So I (and likely plenty others) theorize that Awakened Zoans might have two forms, one that occurs when the user is overwhelmed and becomes this monstrous animal (the Jailer Beasts in Impel Down), and one that occurs whenever the user is in full control of themselves and the fruit. And maybe in this controlled state they obtain the ribbon so as to represent them being in control? We'll likely just have to wait.
Also, I think that the ribbon is something that normal Zoans have to awaken to obtain, but some Mythical Zoans can obtain them without awakening, like Gear 4th Luffy, Zoan and Hybrid Yamato, and Dragon Kaido (although Yamato and Kaido could both possibly be awakened, but we have no confirmation).
Enel is a weird one since he also has a mystic ribbon and he's a logia, not a zoan, but you could argue he purposely created it with his lightning to make his Amaru form seem even more divine.